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If A = [{:(costheta, sin theta),(-sin th...

If `A = [{:(costheta, sin theta),(-sin theta, cos theta):}]` and A(adj A) = `[{:(k,0),(0,k):}]`, then k=……………

A

0

B

`sin theta`

C

`cos theta`

D

1

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If A= [(cos theta, sin theta),(-sin theta, cos theta)] and A (adj A) = [(k,0),(0,k)] then k =

    A
    0
    B
    sin `theta`
    C
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    D
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    `A^(T)`
    C
    I
    D
    0

  • If A=[[cos theta,sin theta],[-sin theta,cos theta]] and A(adj A)=[[k,0],[0,k]] , then k =

    A
    0
    B
    `sin theta`
    C
    `cos theta`
    D
    1

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