1. Definition and Examples
1. Transpose of matrix
If we interchange rows and columns of a matrix A, the new matrix is known as transpose of matrix A and it denoted by A' or A^T
If `A=[[a_11,a_12,a_13],[a_21,a_22,a_23]]` then
`A^T=[[a_11,a_21],[a_12,a_22],[a_13,a_23]]`
Examples
1. Find `A'` ...
`A=[[3,1,1],[-1,2,1],[1,1,1]]`
Solution:
| `A^T` | = | | `3` | `1` | `1` | | | `-1` | `2` | `1` | | | `1` | `1` | `1` | |
| T |
| = | | `3` | `-1` | `1` | | | `1` | `2` | `1` | | | `1` | `1` | `1` | |
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2. Find `B'` ...
`B=[[2,3,1],[0,5,6],[1,1,2]]`
Solution:
| `B^T` | = | | `2` | `3` | `1` | | | `0` | `5` | `6` | | | `1` | `1` | `2` | |
| T |
| = | | `2` | `0` | `1` | | | `3` | `5` | `1` | | | `1` | `6` | `2` | |
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This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then
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