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If `A` is an invertible matrix of order 3, then which of the following is not true (a) `|a d j\ A|=|A|^2` (b) `(A^(-1))^(-1)=A` (c) If `B A=C A` , then `B!=C` , where `B` and `C` are square matrices of order 3 (d) `(A B)^(-1)=B^(-1)A^(-1)` , where `B=([b_(i j)])_(3xx3)` and `|B|!=0`

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RD SHARMA ENGLISH-ADJOINTS AND INVERSE OF MATRIX-All Questions
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  2. If A is an invertible matrix, then which of the following is not tru...

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  3. If A is an invertible matrix of order 3, then which of the following...

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  7. If A, B are two n xx n non-singular matrices, then (1) AB is non-singu...

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  8. If A=[(a , 0) ,(0 ,a)] , then the value of |a d j\ A| is ?

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  13. If A satisfies the equation x^3-5x^2+4x+lambda=0 , then A^(-1) exists ...

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  14. 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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  15. 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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  16. If A=[(2 ,0 ,0),( 0 ,2 ,0),( 0 ,0 ,2)] , then A^5= (a) 5A (b) 10 A (c...

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

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

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

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

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