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Home > Matrix & Vector > Matrix Structure > Nonsingular Matrix checker example
14. is Nonsingular Matrix example ( Enter your problem )
( Enter your problem )
  1. Definition & Examples
  2. Example-2

2. Example-2


1. is Nonsingular Matrix ?
`[[1,2],[4,5]]`

Solution:
A square matrix `A`, such that `|A| != 0`, is called nonsingular matrix.


`A` = 
`1``2`
`4``5`


`|A|` = 
 `1`  `2` 
 `4`  `5` 


`=1 × 5 - 2 × 4`

`=5 -8`

`=-3`


Here, `|A| != 0`, so `A` is nonsingular matrix
2. is Nonsingular Matrix ?
`[[1,2],[4,8]]`

Solution:
A square matrix `A`, such that `|A| != 0`, is called nonsingular matrix.


`A` = 
`1``2`
`4``8`


`|A|` = 
 `1`  `2` 
 `4`  `8` 


`=1 × 8 - 2 × 4`

`=8 -8`

`=0`


Here, `|A| = 0`, so `A` is a singular matrix


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