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If A=[[4,-1],[-1,3]], then A . adj A=...

If `A=[[4,-1],[-1,3]]`, then `A . adj A=`

A

`[[0,10],[10,0]]`

B

`[[11,0],[0,11]]`

C

`[[1,10],[10,1]]`

D

`[[10,10],[10,10]]`

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The correct Answer is:
B
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
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  2. If A=[[a,b],[c,d]], then adj(adj A)=

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  3. If A=[[4,-1],[-1,3]], then A . adj A=

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  4. Let A be a square matrix with real entries, such that A^97=A^-1 . Then

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  5. If ((1,-tan theta ),(tan theta,1))((1,tan theta ),(-tan theta ,1))^(-1...

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  6. If A = [(2,3),(1,-2)] and A^(-1) = alpha A , then the value of alpha...

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  7. For a square matrix A and a non singular matrix B of the same order ,...

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  8. If A and B are two square matrices of the same order such that AB=B an...

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  9. If A=[[x,1],[1,0]]and A^2=I, then A^-1 =

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  10. If A= [[-2,2],[3,1]] then 8A^-1=

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  11. The inverse of the matrix A= [[0,1,0],[1,0,0],[0,0,1]] is A

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  12. If the matrix A=[[8,-6,2],[-6,7,-4],[2,-4,lambda]] is singular, then l...

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  13. If A= [[3,-3,4],[2,-3,4],[0,-1,1]]then

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  14. If A=[[3,-2],[1,2]] and A^2+k A+8 I=0, then k=

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  15. If A=[[1,0],[-1,7]] and A^2-8 A+k I=0, then k=

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  16. The sum of the eigen values of the matrix A=[[2,-1,3],[1,4,2],[3,1,1]]...

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  17. The product of the eigen values of the matrix A= [[3,-1],[2,3]] is

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  18. If 4,-3 are the eigen values of a 2xx 2 matrix A and |A|=6, then the e...

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  19. If A=[[1,a],[0,1]], then lim (n to oo)(1)/(n) A^n is

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  20. Let k be a positive real number and let |A|=(2 k+1)^3 and B=[[0,2k,-...

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