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If A is a square matrix of order 3 such ...

If A is a square matrix of order 3 such that `A^(2) ` = 2A then `|A|^(2)` is equal to

A

`2|A|`

B

`8|A|`

C

`16|A|`

D

0

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-MATRICES-EXERCISE ( LEVEL -1) (Single Correct Answer Type Questions)
  1. If A is both diagonal and skew - symmetric then

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  2. If A^(2) - 3A +2I =0 then A^(-1) equals

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  3. If A is a square matrix of order 3 such that A^(2) = 2A then |A|^(2) ...

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  4. If A is a squyare matrix then which one of the following is not a symm...

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  5. If A = (a(ij))(3xx3) where a(ij) = cos (i+j) then

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  6. If A = (a(ij))(3xx) is a matrix satrisfying the equation x^(3) -3x+1 =...

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  7. Let A and B be square matrices of the same order. Does (A+B)^2=A^2+...

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  8. If [(I,0),(3,-i)]+X = [(I,2),(3,4+i)] -X then X is equal to

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  9. If A = [(0,-i),(i,0)] B = [(1,0),(0,-1)] then A B+ BA is

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  10. A =[(1,2,3),(1,2,3),(-1,-2,-3)] then A is a nilpotent matrix of index

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  11. If A is a 2xx2 unitary matrix then |A| is equal to

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  12. If A= (1)/(2) ((-1,-sqrt(3)),(sqrt(3),-1)) then A^(-1)- A^(2) is equal...

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  13. If C is a 3xx3 matrix satisfying the relation C^(2)+C=I then C^(-2) is...

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  14. If A , B and C are three square matrices of the same size such that B ...

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  15. If X is a 2 xx 3 matrix such that |X' X|!=0 and A = I2 - X(X' X)^(-1) ...

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  16. The matrix A =((p,-q),(q,p)) is orthogonal if and only if

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  17. The values of lambda for which the matrix A =((lambda ,0 ,lambda),(la...

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  18. The values of a for which the matrix A = ((a,a^(2)-1,-3),(a+1,2,a^(...

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  19. Let A(t)=((1,3,2),(2,5,t),(4,7-t,-6)) then the values (s) of t for whi...

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  20. If A=[(a+ib,c+id),(-c+id,a-ib)] and a^(2)+b^(2)+c^(2)+d^(2)=1, then A^...

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