1. is Lower Triangle Matrix ?
`[[1,0,0],[2,3,0],[4,5,6]]`
Solution:
A square matrix, in which all elements above the main diagonal are zero, is called a lower triangle matrix.
| `A` | = | | `1` | `0` | `0` | | | `2` | `3` | `0` | | | `4` | `5` | `6` | |
|
Here, all elements above the main diagonal are zero, so it is a lower triangle matrix.
2. is Lower Triangle Matrix ?
`[[1,9,0],[2,3,0],[4,5,6]]`
Solution:
A square matrix, in which all elements above the main diagonal are zero, is called a lower triangle matrix.
| `A` | = | | `1` | `9` | `0` | | | `2` | `3` | `0` | | | `4` | `5` | `6` | |
|
Here, `a_(12)=9!=0`, so it is not a lower triangle matrix.
This material is intended as a summary. Use your textbook for detail explanation.
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