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If A=((1, 2,2),(2,1,-2),(a,2,b)) is a ...

If `A=((1, 2,2),(2,1,-2),(a,2,b))` is a matrix satisfying the equation `A A^(T) =9I`, where I is `3xx3` identity matrix, then the ordered pair (a, b) is equal to

A

(2, -1)

B

(-2, 1)

C

(2, 1)

D

(-2, -1)

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The correct Answer is:
D
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AAKASH SERIES-APPENDICES (REVISION EXERCISE)-ALGEBRA OF MATRICES
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  4. If A=[a(ij)](n xx n) and a(ij)=i(i+j) then trace of A =

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  13. If omega is a complex cube root of unity and A=[(omega,0),(0, omega)]...

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  17. Let A and B be two symmetric matrices of order 3. Statement: 1: A(BA...

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  18. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

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