2. Example-2
1. is Scalar Matrix ?
`[[2,0,0,0],[0,2,0,0],[0,0,2,0],[0,0,0,2]]`
Solution:
A square matrix, in which all diagonal elements are equal to same scalar and all other elements are zero, is called a scalar matrix.
Or
A diagonal matrix, in which all diagonal elements are equal to same scalar, is called a scalar matrix.
| `A` | = | | `2` | `0` | `0` | `0` | | | `0` | `2` | `0` | `0` | | | `0` | `0` | `2` | `0` | | | `0` | `0` | `0` | `2` | |
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Here, all diagonal elements are equal to same scalar(2) and all other elements are zero, so it is a scalar matrix.
2. is Scalar Matrix ?
`[[2,3,4,5],[0,2,0,0],[0,0,2,0],[0,0,0,2]]`
Solution:
A square matrix, in which all diagonal elements are equal to same scalar and all other elements are zero, is called a scalar matrix.
Or
A diagonal matrix, in which all diagonal elements are equal to same scalar, is called a scalar matrix.
| `A` | = | | `2` | `3` | `4` | `5` | | | `0` | `2` | `0` | `0` | | | `0` | `0` | `2` | `0` | | | `0` | `0` | `0` | `2` | |
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Here, `a_(12)=3!=0`, so it is an not a scalar matrix.
This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then
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