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The matrix [(lamda,-1,4),(-3,0,1),(-1,1,...

The matrix `[(lamda,-1,4),(-3,0,1),(-1,1,2)]` is invertible if

A

`lamda!=-17`

B

`lamda!=-18`

C

`lamda!=-19`

D

`lamda!=20`

Text Solution

Verified by Experts

The correct Answer is:
A
Given matrix is invertible, then
`|(lamda, -1,4),(-3,0,1),(-1,1,2)|!=0`
`implieslamda(0-1)+1(-6+1)+4(-3-0)!=0`
`implies-lamda-5-12!=0implieslamda1=-17`
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