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Matrix Inverse over the Complex Numbers |
Linear Algebra |
3 min |
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Cramers Rule over the Complex Numbers |
Linear Algebra |
4 min |
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Gaussian Elimination over Z/3 |
Linear Algebra |
2 min |
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Matrix Inverse over Z/7 |
Linear Algebra |
3 min |
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Cramers Rule over Z/5 |
Linear Algebra |
4 min |
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Example of Skew-Symmetric Matrix |
Linear Algebra |
8 min |
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Example of Simultaneous Diagonalization |
Linear Algebra |
7 min |
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Positive Semi-Definite Matrix 1: Square Root |
Linear Algebra |
12 min |
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Positive Semi-Definite Matrix 2: Spectral Theorem |
Linear Algebra |
13 min |
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Positive Semi-Definite Matrix 3: Factorization of Invertible Matrices |
Linear Algebra |
10 min |
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Cayley-Hamilton Theorem for 2×2 Matrices |
Linear Algebra |
5 min |
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Inverse of a Matrix Using the Cayley-Hamilton Theorem |
Linear Algebra |
3 min |
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Cayley-Hamilton Theorem: General Case |
Linear Algebra |
16 min |
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Cayley-Hamilton Theorem: Example 1 |
Linear Algebra |
4 min |
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Cayley-Hamilton Theorem Example 2 |
Linear Algebra |
4 min |
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Example of Invariant Subspace 1 |
Linear Algebra |
11 min |
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Overview of Jordan Canonical Form |
Linear Algebra |
16 min |
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Example of Jordan Canonical Form: 2×2 Matrix |
Linear Algebra |
10 min |
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Example of Jordan Canonical Form: General Properties |
Linear Algebra |
6 min |
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Example of Jordan Canonical Form: Real 4×4 Matrix with Basis 1 |
Linear Algebra |
5 min |
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Example of Jordan Canonical Form: Real 4×4 Matrix with Basis 2 |
Linear Algebra |
7 min |
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Commutant of Complex Matrix |
Linear Algebra |
10 min |
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Example of Rational Canonical Form 1: Single Block |
Linear Algebra |
18 min |
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Example of Rational Canonical Form 2: Several Blocks |
Linear Algebra |
7 min |
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Example of Rational Canonical Form 3 |
Linear Algebra |
19 min |
Click to view videos |
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Exponential of 2×2 Matrix 1: Complex Case |
Linear Algebra |
7 min |
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Exponential of 2×2 Matrix 2: Traceless Case |
Linear Algebra |
5 min |
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Example of Group Action |
Linear Algebra |
9 min |
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Example of Quaternions |
Linear Algebra |
6 min |
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The Fibonacci Numbers Using Linear Algebra |
Linear Algebra |
12 min |
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The Fibonacci Numbers Using Power Series |
Linear Algebra |
8 min |
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Example of Group Automorphism 1 (Requires Linear Algebra) |
Linear Algebra |
18 min |
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Example of Group Automorphism 2: G = Z/4 x Z/4 (Requires Linear Algebra) |
Linear Algebra |
11 min |
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Group Theory: The Simple Group of Order 168 – Part 1 |
Linear Algebra |
11 min |
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Group Theory: The Simple Group of Order 168 – Part 2 |
Linear Algebra |
15 min |
Click to view videos |
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