1. is Diagonal Matrix ?
`[[1,0,0],[0,-2,0],[0,0,3]]`
Solution:
A square matrix, in which all elements except diagonal elements are zero, is called a diagonal matrix.
| `A` | = | | `1` | `0` | `0` | | | `0` | `-2` | `0` | | | `0` | `0` | `3` | |
|
Here, all elements except diagonal elements are zero, so it is a diagonal matrix.
2. is Diagonal Matrix ?
`[[1,2,0],[0,5,0],[7,0,9]]`
Solution:
A square matrix, in which all elements except diagonal elements are zero, is called a diagonal matrix.
| `A` | = | | `1` | `2` | `0` | | | `0` | `5` | `0` | | | `7` | `0` | `9` | |
|
Here, `a_(12)=2!=0`, so it is not a diagonal matrix.
This material is intended as a summary. Use your textbook for detail explanation.
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