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

If `A= [[x,1],[1,0]]` and `A^2=I` then `x=`

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1

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2

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4

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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. Let A and B be two non zero matrix if the product A B is a zero matrix...

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  2. If A = [[1,0,1],[0,0,0],[1,0,1]] then A^2=

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

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  4. If A = [[4,0,0],[0,8,0],[0,0,6]] then A^-1=

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  5. If A=[[2,-1],[-1,2]]and I is the unit matrix of order 2, then A^2=

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  6. The multiplicative inverse of the matrix A = [[0,0,1],[0,1,0],[1,0,0...

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  7. If a, b, c are non-zero real numbers, then the inverse of the matrix ...

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  8. If P= [[i,0,-i],[0,-i,i],[-i,i,0]], Q= [[-i,i],[0,0],[i, -i]] then P Q...

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  9. If [[alpha,beta],[gamma,-alpha]] is to be square root of the two rowe...

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  10. If A and B are square matrices of same order such that, (A+B)^2=A^2+B...

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  11. The element in the first row and third column of the inverse of the ma...

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  12. A^2-A+I=0, then the inverse of A is

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  13. A is a 3 xx 3 matrix and B is its adjoint matrix. If |B|=81, then |A|=

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  14. If A=[[a,0,0],[0,a,0],[0,0,a]] then |adj A|=

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  15. For a 3xx 3 matrix A, if det A=3, then det (adj A)=

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  16. If (1 x 2)[[1,2,3],[0,1,5],[0,2,3]] [[x],[-1],[2]]=0 then x=

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  17. If A and B are two matrices such that A B=B and B A=A, then A^2+B^2=

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  18. If A=[[3,-4],[1,-1]] then the value of A^n=

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  19. If A is a square matrix of order n, then det (adj A)=

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  20. For any 2xx 2 matrix A, if A . adj A = [[7,0],[0,7]] then |A| is equal...

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