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If A=[(1,0,1), (0,0,1),(a,b,2)] , then a...

If A=`[(1,0,1), (0,0,1),(a,b,2)]` , then `a I+b A+2A^2` equals (a) `A` (b) -` A` (c) `a b\ A` (d) none of these

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If A=[[1, 2, x], [0 ,1 ,0],[ 0, 0, 1]] and B=[[1,-2,y],[0, 1, 0 ],[0, 0, 1]] and A B=I_3 , then x+y equals (a) 0 (b) -1 (c) 2 (d) none of these

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If A=[(0,0,0,0),(0,0,0,0),(1,0,0,0),(0,1,0,0)] then (A) A^2=I (B) A^2=0 (C) A^3=0 (D) none of these

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RD SHARMA ENGLISH-ADJOINTS AND INVERSE OF MATRIX-All Questions
  1. If A satisfies the equation x^3-5x^2+4x+lambda=0 , then A^(-1) exists ...

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  2. If for the matrix A ,\ A^3=I , then A^(-1)=(a)A^2 (b) A^3 (c) A (d) no...

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  3. If Aa n dB are two square matrices such that B=-A^(-1)B A ,t h e n(A+B...

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  4. If A=[(2 ,0 ,0),( 0 ,2 ,0),( 0 ,0 ,2)] , then A^5= (a) 5A (b) 10 A (c...

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  5. For non-singular square matrix A ,\ B\ a n d\ C of the same order th...

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  6. The matrix [(5 ,1 ,0), (3 ,-2 ,-4 ), (6 ,-1 ,-2b)] is a singular matri...

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  7. If d is the determinant of a square matrix A of order n , then the ...

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  8. If A is a matrix of order 3 and |A|=8 , then |a d j\ A|= (a) 1 (b)...

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  9. If A^2-A +I = 0, then the inverse of A is: (A) A+I (B) A (C) ...

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  10. If A and B are invertible matrices, which of the following statemen...

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  11. If A is a square matrix such that A^2 = I, then A^(-1) is equal to (i...

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  12. Let A=[(1, 2), (3,-5)] and B=[(1, 0), (0, 2)] and X be a matrix such t...

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  13. If A=[ (2 , 3) ,( 5 ,-2 )] , then find |A|

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  14. If A=1/3[(1,2,2),(2,1,-2),(x,2,y)] satisfies A^T A=I , then x+y= (a) ...

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  15. If A=[(1,0,1), (0,0,1),(a,b,2)] , then a I+b A+2A^2 equals (a) A (b) -...

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  16. If [(1,-tantheta),(tantheta,1)][(1,tantheta),(-tantheta,1)]^(-1)=[(a,-...

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  17. If a matrix A is such that 3A^3 +2A^2+5A+I= 0, then A^(-1) is equal to

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  18. If A is an invertible matrix of order 2, then det (A^(-1))is equal to...

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  19. If A=[(2,-1),( 3,-2)] , then A^n= [(1, 0),( 0,1)] , if (a) n is an ev...

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  20. If x ,\ y ,\ z are non-zero real numbers, then the inverse of the ma...

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