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[Tutorialsplanet.NET] Udemy - Linear Algebra and Geometry 1
magnet:?xt=urn:btih:e7f604523b0d1c534f9887fddbf850e5392b90b5&dn=[Tutorialsplanet.NET] Udemy - Linear Algebra and Geometry 1
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Hash值:
e7f604523b0d1c534f9887fddbf850e5392b90b5
点击数:
327
文件大小:
22.78 GB
文件数量:
144
创建日期:
2022-3-2 17:52
最后访问:
2024-5-29 00:54
访问标签:
Tutorialsplanet
NET
Udemy
-
Linear
Algebra
and
Geometry
1
文件列表详情
01 Introduction to the course/001 Introduction.mp4 153.33 MB
02 Some basic concepts/001 Coordinate systems and coordinates in the plane and in the 3-space.mp4 122.57 MB
02 Some basic concepts/002 Slope-intercept equations of straight lines in the plane.mp4 70.38 MB
02 Some basic concepts/003 Normal equations of planes in the 3-space.mp4 63.91 MB
02 Some basic concepts/004 Vectors.mp4 56.19 MB
02 Some basic concepts/005 Scalars.mp4 48.22 MB
02 Some basic concepts/006 Vector addition and vector scaling.mp4 63.5 MB
02 Some basic concepts/007 Linear combinations.mp4 165.54 MB
02 Some basic concepts/008 Matrices.mp4 41.67 MB
02 Some basic concepts/009 Linear transformations.mp4 123.63 MB
02 Some basic concepts/010 Matrix—vector multiplication.mp4 60.13 MB
02 Some basic concepts/011 Rules for computations with real numbers.mp4 59.47 MB
02 Some basic concepts/012 Pythagorean Theorem and distance between points.mp4 66.55 MB
02 Some basic concepts/013 Sine, cosine, and pythagorean identity.mp4 31.79 MB
02 Some basic concepts/014 Cosine Rule.mp4 55.02 MB
03 Systems of linear equations; building up your geometrical intuition/001 Different ways of looking at equations.mp4 33.63 MB
03 Systems of linear equations; building up your geometrical intuition/002 Solution set.mp4 58.54 MB
03 Systems of linear equations; building up your geometrical intuition/003 Linear and non-linear equations.mp4 63.27 MB
03 Systems of linear equations; building up your geometrical intuition/004 Systems of linear equations.mp4 26.96 MB
03 Systems of linear equations; building up your geometrical intuition/005 Solution sets of systems of linear equations.mp4 54.16 MB
03 Systems of linear equations; building up your geometrical intuition/006 An example of a 2 × 2 system of linear equations, a graphical solution.mp4 31.21 MB
03 Systems of linear equations; building up your geometrical intuition/007 Possible solution sets of 2 × 2 systems of linear equations.mp4 42.65 MB
03 Systems of linear equations; building up your geometrical intuition/008 Possible solution sets of 3 × 2 systems of linear equations.mp4 37.62 MB
03 Systems of linear equations; building up your geometrical intuition/009 Possible solution sets of 3 × 3 systems of linear equations.mp4 52.6 MB
03 Systems of linear equations; building up your geometrical intuition/010 Possible solution sets of 2 × 3 systems of linear equations.mp4 22.45 MB
03 Systems of linear equations; building up your geometrical intuition/011 Possible solution sets of m × n systems of linear equations.mp4 40.92 MB
04 Solving systems of linear equations; Gaussian elimination/001 Our earlier problem revisited; an algebraical solution.mp4 182.33 MB
04 Solving systems of linear equations; Gaussian elimination/002 Three elementary operations.mp4 70.77 MB
04 Solving systems of linear equations; Gaussian elimination/003 What is Gauss—Jordan elimination and Gaussian elimination_.mp4 47.87 MB
04 Solving systems of linear equations; Gaussian elimination/004 Gauss—Jordan elimination, a 2-by-2 system with unique solution.mp4 38.68 MB
04 Solving systems of linear equations; Gaussian elimination/005 The same example solved with Gaussian elimination and back-substitution.mp4 30.12 MB
04 Solving systems of linear equations; Gaussian elimination/006 The same example solved with matrix operations; coefficient matrix and augmented.mp4 66.82 MB
04 Solving systems of linear equations; Gaussian elimination/007 How to write the augmented matrix for a given system of equations, Problem 1.mp4 258.05 MB
04 Solving systems of linear equations; Gaussian elimination/008 How to write system of equations to a given augmented matrix, Problem 2.mp4 148.11 MB
04 Solving systems of linear equations; Gaussian elimination/009 Gaussian elimination, Problem 3.mp4 558.28 MB
04 Solving systems of linear equations; Gaussian elimination/010 Gaussian elimination, Problem 4.mp4 376.41 MB
04 Solving systems of linear equations; Gaussian elimination/011 Gaussian elimination, Problem 5.mp4 312.42 MB
04 Solving systems of linear equations; Gaussian elimination/012 Gaussian elimination, Problem 6.mp4 315.33 MB
04 Solving systems of linear equations; Gaussian elimination/013 What happens if the system is inconsistent_.mp4 36.28 MB
04 Solving systems of linear equations; Gaussian elimination/014 Gaussian elimination, Problem 7.mp4 122.99 MB
04 Solving systems of linear equations; Gaussian elimination/015 Preparation to the general formulation of the algorithm; REF and RREF matrices.mp4 178.11 MB
04 Solving systems of linear equations; Gaussian elimination/016 How to read solutions from REF and RREF matrices_.mp4 402.56 MB
04 Solving systems of linear equations; Gaussian elimination/017 General formulation of the algorithm in Gauss–Jordan elimination.mp4 458.12 MB
04 Solving systems of linear equations; Gaussian elimination/018 Gauss–Jordan elimination, Problem 8.mp4 312.68 MB
04 Solving systems of linear equations; Gaussian elimination/019 Gauss–Jordan elimination, Problem 9.mp4 191.99 MB
04 Solving systems of linear equations; Gaussian elimination/020 Gaussian elimination, Problem 10.mp4 112.24 MB
04 Solving systems of linear equations; Gaussian elimination/021 Gauss–Jordan elimination, Problem 11.mp4 406.45 MB
04 Solving systems of linear equations; Gaussian elimination/022 Gauss–Jordan elimination, Problem 12.mp4 520.49 MB
04 Solving systems of linear equations; Gaussian elimination/023 Gauss–Jordan elimination, Problem 13.mp4 566.79 MB
05 Some applications in mathematics and natural sciences/001 Solving systems of linear equations in Linear Algebra and Geometry.mp4 94.07 MB
05 Some applications in mathematics and natural sciences/002 Solving systems of linear equations (Calculus) Problem 1.mp4 143.97 MB
05 Some applications in mathematics and natural sciences/003 Solving systems of linear equations (Calculus) Problem 2.mp4 206.19 MB
05 Some applications in mathematics and natural sciences/004 Solving systems of linear equations (Calculus) Problem 3.mp4 513.66 MB
05 Some applications in mathematics and natural sciences/005 Solving systems of linear equations (Calculus) Problem 4.mp4 572.23 MB
05 Some applications in mathematics and natural sciences/006 Problem 5 (Chemistry).mp4 277.27 MB
05 Some applications in mathematics and natural sciences/007 Problem 6 (Electrical circuits).mp4 270.56 MB
06 Matrices and matrix operations/001 Introduction to matrices.mp4 55.11 MB
06 Matrices and matrix operations/002 Different types of matrices.mp4 51.47 MB
06 Matrices and matrix operations/003 Matrix addition and subtraction, Problem 1.mp4 27.23 MB
06 Matrices and matrix operations/004 Matrix scaling, with geometrical interpretation.mp4 33 MB
06 Matrices and matrix operations/005 Matrix scaling, Problem 2.mp4 57.25 MB
06 Matrices and matrix operations/006 Matrix multiplication, with geometrical interpretation.mp4 110.63 MB
06 Matrices and matrix operations/007 Matrix multiplication, how to do.mp4 41.55 MB
06 Matrices and matrix operations/008 Matrix multiplication, Problem 3.mp4 35.28 MB
06 Matrices and matrix operations/009 Matrix multiplication and systems of equations, Problem 4.mp4 49.96 MB
06 Matrices and matrix operations/010 Transposed matrix, definition and some examples.mp4 75.79 MB
06 Matrices and matrix operations/011 Trace of a matrix, definition and an example.mp4 20.22 MB
06 Matrices and matrix operations/012 Various matrix operations, Problem 7.mp4 238.82 MB
06 Matrices and matrix operations/013 Various matrix operations, Problem 8.mp4 287.18 MB
07 Inverses; Algebraic properties of matrices/001 Properties of matrix operations, an introduction.mp4 41.73 MB
07 Inverses; Algebraic properties of matrices/002 Matrix addition has all the good properties.mp4 32.07 MB
07 Inverses; Algebraic properties of matrices/003 Matrix multiplication has a neutral element for square matrices.mp4 119.76 MB
07 Inverses; Algebraic properties of matrices/004 Matrix multiplication is associative.mp4 282.36 MB
07 Inverses; Algebraic properties of matrices/005 Matrix multiplication is not commutative.mp4 43.95 MB
07 Inverses; Algebraic properties of matrices/006 Sometimes commutativity happens, Problem 1.mp4 309.55 MB
07 Inverses; Algebraic properties of matrices/007 Two distributive laws.mp4 163.69 MB
07 Inverses; Algebraic properties of matrices/008 Matrix multiplication does not have the zero-product property.mp4 17.53 MB
07 Inverses; Algebraic properties of matrices/009 There is no cancellation law for matrix multiplication.mp4 26.92 MB
07 Inverses; Algebraic properties of matrices/010 Inverse matrices; not all non-zero square matrices have an inverse.mp4 68.61 MB
07 Inverses; Algebraic properties of matrices/011 Inverse matrix for 2-by-2 matrices; non-zero determinant.mp4 129.29 MB
07 Inverses; Algebraic properties of matrices/012 Solving matrix equations, Problem 2.mp4 343.3 MB
07 Inverses; Algebraic properties of matrices/013 Powers of matrices; powers of diagonal matrices.mp4 19.24 MB
07 Inverses; Algebraic properties of matrices/014 Computation rules for transposed matrices.mp4 139.38 MB
07 Inverses; Algebraic properties of matrices/015 Supplement to Video 83; Inverse of a product.mp4 118.61 MB
07 Inverses; Algebraic properties of matrices/016 Inverse of a transposed matrix.mp4 26.83 MB
07 Inverses; Algebraic properties of matrices/017 Various rules, Problem 3.mp4 223.39 MB
08 Elementary matrices and a method for finding A inverse/001 Inverse matrices, introduction to the algorithm.mp4 406.27 MB
08 Elementary matrices and a method for finding A inverse/002 Algorithm for inverse matrices, an example.mp4 57.55 MB
08 Elementary matrices and a method for finding A inverse/003 Matrix inverse, Problem 1.mp4 289.45 MB
08 Elementary matrices and a method for finding A inverse/004 Matrix inverse, Problem 2.mp4 204.71 MB
08 Elementary matrices and a method for finding A inverse/005 Matrix equations, Problem 3.mp4 250.36 MB
08 Elementary matrices and a method for finding A inverse/006 Matrix equations, Problem 4.mp4 155.95 MB
08 Elementary matrices and a method for finding A inverse/007 Matrix equations, Problem 5.mp4 341.83 MB
08 Elementary matrices and a method for finding A inverse/008 Matrix equations, Problem 6.mp4 437.57 MB
08 Elementary matrices and a method for finding A inverse/009 Matrix inverse, Problem 7.mp4 387.07 MB
08 Elementary matrices and a method for finding A inverse/010 Elementary operations and elementary matrices.mp4 71.57 MB
08 Elementary matrices and a method for finding A inverse/011 Inverse elementary operations and their matrices.mp4 35.05 MB
08 Elementary matrices and a method for finding A inverse/012 A really important theorem.mp4 67.09 MB
08 Elementary matrices and a method for finding A inverse/013 Four equivalent statements.mp4 148.25 MB
09 Linear systems and matrices/001 Formally about the number of solutions to systems of linear equations.mp4 348.6 MB
09 Linear systems and matrices/002 Two more statements in our important theorem.mp4 136.69 MB
09 Linear systems and matrices/003 Solution of a linear system using A inverse, Problem 1.mp4 334.86 MB
09 Linear systems and matrices/004 Determining consistency by elimination, Problem 2.mp4 465.18 MB
09 Linear systems and matrices/005 Matrix equations, Problem 3.mp4 278.16 MB
10 Determinants/001 Why the determinants are important.mp4 68.48 MB
10 Determinants/002 2-by-2 determinants; notation for n-by-n determinants.mp4 47.88 MB
10 Determinants/003 Geometrical interpretations of determinants.mp4 104.8 MB
10 Determinants/004 Geometrically about the determinant of a product.mp4 68.66 MB
10 Determinants/005 Definition of determinants.mp4 101.96 MB
10 Determinants/006 Conclusion 1_ Determinant of matrices with interchanged columns.mp4 54.76 MB
10 Determinants/007 Conclusion 2_ What happens when one column is a linear combination of others.mp4 248.51 MB
10 Determinants/008 Conclusion 3_ About adding a multiple of a column to another column.mp4 72.17 MB
10 Determinants/009 Conclusion 4_ Determinant of kA for any k ∈ R.mp4 43.03 MB
10 Determinants/010 Elementary column operations.mp4 208.11 MB
10 Determinants/011 How to compute 2-by-2 determinants from the definition.mp4 56.53 MB
10 Determinants/012 How to compute 3-by-3 determinants from the definition.mp4 82.36 MB
10 Determinants/013 Sarrus’ rule for 3-by-3 determinants.mp4 338.86 MB
10 Determinants/014 Determinant of transposed matrix; row operations.mp4 76.32 MB
10 Determinants/015 Evaluating determinants by cofactor expansion along rows or columns.mp4 620.22 MB
10 Determinants/016 Evaluating determinants by row or column reduction.mp4 156.51 MB
10 Determinants/017 Determinant of inverse.mp4 31.7 MB
10 Determinants/018 Properties of determinants, Problem 1.mp4 100.97 MB
10 Determinants/019 Properties of determinants, Problem 2.mp4 124.14 MB
10 Determinants/020 Properties of determinants, Problem 3.mp4 190.43 MB
10 Determinants/021 Determinant equations, Problem 4.mp4 175.6 MB
10 Determinants/022 Determinant equations, Problem 5.mp4 301.98 MB
10 Determinants/023 Determinant equations, Problem 6.mp4 36.97 MB
10 Determinants/024 Determinant equations, Problem 7.mp4 29.85 MB
10 Determinants/025 Invertible matrices, determinant test with a proof, Problem 8.mp4 331.85 MB
10 Determinants/026 Cramer’s rule, a proof, an example, and a geometrical interpretation.mp4 206.73 MB
10 Determinants/027 Cramer’s rule, Problem 9.mp4 231.82 MB
10 Determinants/028 Inverse matrix, an explicit formula.mp4 199.93 MB
10 Determinants/029 Invertible matrices, Problem 10.mp4 180.07 MB
10 Determinants/030 Problem 11, a large determinant.mp4 43.08 MB
10 Determinants/031 Problem 12, another large determinant.mp4 267.97 MB
10 Determinants/032 Problem 13_ a trigonometric determinant.mp4 203.05 MB
10 Determinants/033 Problem 14_ Vandermonde determinant.mp4 456.43 MB
11 Vectors in 2-space, 3-space, and n-space/001 Vectors, a repetition.mp4 55.29 MB
11 Vectors in 2-space, 3-space, and n-space/002 Computation rules for vector addition and scaling.mp4 108.46 MB
11 Vectors in 2-space, 3-space, and n-space/003 Computations with vectors, Problem 1.mp4 172.33 MB
11 Vectors in 2-space, 3-space, and n-space/004 Computations with vectors, Problem 2.mp4 131.76 MB
11 Vectors in 2-space, 3-space, and n-space/005 Computations with vectors, Problem 3.mp4 105.22 MB
11 Vectors in 2-space, 3-space, and n-space/006 Parallel vectors, Problem 4.mp4 143.21 MB
11 Vectors in 2-space, 3-space, and n-space/007 Parallel vectors, Problem 5.mp4 100 MB
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