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Row Reduction for a System of Two Linear Equations |
Linear Algebra |
5 min |
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Solving a 2×2 SLE Using a Matrix Inverse |
Linear Algebra |
4 min |
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Solving a SLE in 3 Variables with Row Operations 1 |
Linear Algebra |
8 min |
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Solving a SLE in 3 Variables with Row Operations 2 |
Linear Algebra |
8 min |
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Consistency of a System of Linear Equations |
Linear Algebra |
3 min |
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Inverse of 3 x 3 Matrix Using Row Operations 1 |
Linear Algebra |
6 min |
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Inverse of 3×3 Matrix Using Row Operations 2 |
Linear Algebra |
6 min |
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Inverse of 4×4 Matrix Using Row Operations |
Linear Algebra |
4 min |
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Example of Determinant Using Row Echelon Form |
Linear Algebra |
7 min |
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Inverse of 3 x 3 Matrix Using Adjugate Formula |
Linear Algebra |
3 min |
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Inverse of 4×4 Matrix Using Adjugate Formula |
Linear Algebra |
4 min |
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Cramers Rule for Three Linear Equations |
Linear Algebra |
5 min |
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Determinant of a 4 x 4 Matrix Using Cofactors |
Linear Algebra |
4 min |
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Determinant of a 4 x 4 Matrix Using Row Operations |
Linear Algebra |
4 min |
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Examples of Linear Maps |
Linear Algebra |
7 min |
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Example of Linear Combination |
Linear Algebra |
4 min |
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Example of Linear Combination (Visual) |
Linear Algebra |
4 min |
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Evaluating Linear Transformations Using a Basis |
Linear Algebra |
3 min |
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Linear Transformations on R^2 |
Linear Algebra |
12 min |
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Example of Checking for Basis Property |
Linear Algebra |
5 min |
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Example of Basis for a Null Space |
Linear Algebra |
5 min |
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Example of Basis for a Span |
Linear Algebra |
7 min |
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Example of Linear Independence Using Determinant |
Linear Algebra |
3 min |
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Example of Kernel and Range of Linear Transformation |
Linear Algebra |
7 min |
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Linear Transformations: One-One |
Linear Algebra |
9 min |
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Linear Transformations: Onto |
Linear Algebra |
8 min |
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Example of Change of Basis |
Linear Algebra |
7 min |
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Eigenvalues and Eigenvectors |
Linear Algebra |
10 min |
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Example of Eigenvector: Markov Chain |
Linear Algebra |
13 min |
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Example of Diagonalizing a 2 x 2 Matrix |
Linear Algebra |
7 min |
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Example of Power Formula for a Matrix |
Linear Algebra |
7 min |
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The Fibonacci Numbers Using Linear Algebra (HD Version) |
Linear Algebra |
12 min |
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Vector Length in R^n |
Linear Algebra |
13 min |
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The Standard Inner Product on R^n |
Linear Algebra |
11 min |
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Example of Fouriers Trick |
Linear Algebra |
6 min |
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Example of Orthogonal Complement |
Linear Algebra |
4 min |
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Orthogonal Transformations 1: 2×2 Case |
Linear Algebra |
14 min |
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Orthogonal Transformations 2: 3×3 Case |
Linear Algebra |
15 min |
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Example of Gram-Schmidt Orthogonalization |
Linear Algebra |
10 min |
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QR-Decomposition for a 2×2 Matrix |
Linear Algebra |
11 min |
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Beyond Eigenspaces: Real Invariant Planes |
Linear Algebra |
16 min |
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Spectral Theorem for Real Matrices: General 2×2 Case |
Linear Algebra |
14 min |
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Spectral Theorem for Real Matrices: General nxn Case |
Linear Algebra |
16 min |
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Example of Diagonalizing a Symmetric Matrix (Spectral Theorem) |
Linear Algebra |
10 min |
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Example of Spectral Theorem (3×3 Symmetric Matrix) |
Linear Algebra |
8 min |
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