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If A B=A and B A=B, then B^2=...

If `A B=A` and `B A=B`, then `B^2=`

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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. The value of x for which the matrix product [[2,0,7],[0,1,0],[1,-2,...

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  2. A square matrix can always be expressed as

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  3. If A B=A and B A=B, then B^2=

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  4. If A = [(i,0),(0,i)] then A^(4n) (n in N ) equals :

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  5. If A = ((a,b),(c,d)) , such that ad - bc != 0 then A^(-1) is :

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  6. If S=[[a,b],[c,d]] then adj A=

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  7. If A= [[1, 0,0],[0,1, 0],[a, b,-1]] then A^2=

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  8. If A= [[cos x, sin x],[-sin x, cos x]] and A(adj A)=k[[1,0],[0,1]] the...

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  9. If A is 3 xx 4 matrix and B is a matrix such that A^(1)B and B A^(1) a...

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  10. If A= [[1, x],[x^2,4 y]], B= [[-3,1],[1,0]] and adj A+B=[[1,0],[0,1]],...

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  11. Let A= [[1,2],[-5,1]] and A^-1=x A+y I, then the values of x and y are

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  12. If A=[[alpha,0],[1,1]] and B=[[1,0],[5,1]] then the value of alpha for...

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  13. If A= [(alpha,2),(2,alpha)] and |A^(3)|= 125 " then " alpha =

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  14. If A = [(1,0,0),(0,1,1),(0,-2,4)] and also A^(-1)=1/6 (A^(2)+cA+dI) ...

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  15. Let A and B be 3xx 3 matrices of real numbers, where A is symmetric an...

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  16. If A = [(1,0),(1,1)] and I = [(1,0),(0,1)] , then which one of the f...

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  17. If A B=A and B A=B, then B^2=

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  18. The number of 3xx3 non - singular matrices , with four entries as 1 ...

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  19. If x, y, z being positive |[1, log x y,log x z],[log y x,1,log y z],[l...

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  20. If Dr= |[2^r-1,2 . 3^(r-1), 4 . 5^(r-1)],[alpha ,beta, gamma],[2^(n-1)...

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