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00:00 - Introduction
13:19 - Topics to be covered
16:33 - Matrix Definition
26:01 - Order of a matrix
39:13 - Types of matrices
1:13:30 - Algebra of matrices
1:15:36 - Equality of matrices
1:20:05 - Addition/ Subtraction of matrices
1:22:23 - Multiplication with a scalar
1:24:49 - Multiplication of two matrices
1:35:25 - Matrix multiplication
2:10:05 - More about matrix multiplication
2:26:51 - Trace of a matrix
2:28:20 - Properties of a trace of matrix
2:48:32 - The Transpose of a matrix
2:50:48 - Properties of transpose
3:10:26 - Symmetric and skew symmetric matrix
3:44:18 - Properties of symmetric and skew symmetric matrices
4:54:02 - Minor and Co-factor of an element
5:01:04 - Adjoint of a matrix
5:13:29 - Properties of adjoint of a matrix
6:13:43 - Inverse of a matrix
6:28:00 - Properties of a inverse of a matrix
6:39:34 - More types of square matrices
6:40:08 - Characteristics equation and Cayley Hamilton
7:27:52 - Matrix method for solving linear equations
7:28:42 - Homework
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