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

If `A=[(i,0), (0,i)],\ n in N` , then `A^(4n)` equals `[(0,i), (i,0)]` (b) `[(0 ,0) ,(0, 0)]` (c) `[(1, 0) ,(0, 1)]` (d) `[(0,i) ,(i,0)]`

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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. If A=[3 5 7 9] is written as A=P+Q , where P is symmetric and Q is sk...

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  2. If A=[(1 ,0, 0),(0, 1,0),( a,b, -1)] , then A^2 is equal to (a) a n...

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

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  4. If A and B are two matrices such that A B=A and B A=B , then B^...

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  5. If A B=A and B A=B , where A and B are square matrices, then B^2=B ...

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

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  8. If the matrix A B is zero, then It is not necessary that either A=O...

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  9. Let A=[(a,0, 0),( 0,a,0),( 0, 0,a)] , then A^n is equal to [(a^n,0,...

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  10. If A ,\ B are square matrices of order 3,\ A is non-singular and A ...

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  11. If A=[(n,0 ,0),( 0,n,0),( 0, 0,n)] and B=[(a1,a2,a3),(b1,b2,b3),(c1,c2...

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  12. If A=[(1,a),(0, 1)] , then A^n (where n in N) equals (a)[(1,n a),(0, ...

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  13. If A=[[1, 2, x], [0 ,1 ,0],[ 0, 0, 1]] and B=[[1,-2,y],[0, 1, 0 ],[0...

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  14. If A=[1-1 2-1] , B=[a1b-1] and (A+B)^2=A^2+B^2 , then values of a and ...

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  15. If A=[alphabetagamma-alpha] is such that A^2=I , then 1+alpha^2+betaga...

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  16. If S=[S(i j)] is a scalar matrix such that s(i i)=ka n dA is a square ...

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  17. If a square matrix such that A^2=A , then (I+A)^3-7A is equal to A ...

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  18. If a matrix A is both symmetric and skew-symmetric, then A is a dia...

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  19. The matrix [(0, 5,-7),(-5, 0, 11),( 7,-11, 0)] is (a) a skew-symmetr...

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  20. If A is a square matrix, then A A is a (a) skew-symmetric matrix (b)...

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