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For how many values of 'x' in the closed interval `[-4,-1]` is the matrix `[(3,-1+x,2),(3,-1,x+2),(x+3,-1,2)]` singular ? (A) `2` (B) `0` (C) `3` (D) `1`

A

2

B

0

C

3

D

1

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The correct Answer is:
D
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DISHA PUBLICATION-DETERMINANTS-EXERCISE -1 CONCEPT BUILDER
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  7. If omega is the complex cube root of unity then |[1,1+i+omega^2,omeg...

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  14. If A={:[(3,2),(0,1)]:}" then:(A^(-1))^(3)=

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

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  16. If A= [{:(1,0,3),(2,1,1),(0,0,2):}] , then the value of |adj(adj A) | ...

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  17. If A = [{:(0,-1,2),(2,-2,0):}], B = [{:(0,1),(1,0),(1,1):}] and M = AB...

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  18. If for AX=B, B=[[9], [52], [0]] and A^(-1)=[[3, -(1)/(2), -(1)/(2)], [...

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  19. If matrix [(1,2,-1),(3,4,5),(2,6,7)] and its inverse is denoted by A^(...

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  20. If A = [{:(1,0),(1,1):}] , then value of A^(-a) is

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