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If [[3,2],[2,-3]]=A is such that kA^(-1)...

If `[[3,2],[2,-3]]=A` is such that `kA^(-1)=A` then K is :

A

`(1)/(13)`

B

9

C

11

D

13

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If A=[[-4,4,4],[-7,1,3],[5,-3,-1]], B=[[1,-1,1],[1,-2,-2],[2,1,3]] and AB = BA, then B^(-1)=kA then k is :

    A
    `(1)/(2)`
    B
    8
    C
    `(1)/(8)`
    D
    2

  • If A=[[2,3],[3,5]] and A(adj A) =[[k,0],[0,k]] then k is :

    A
    10
    B
    3
    C
    `-1`
    D
    1

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