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Let P and Q be 3xx3 matrices P ne Q. If ...

Let P and Q be `3xx3` matrices `P ne Q`. If `P^(3)=Q^(3)` and `P^(2)Q=Q^(2)P`, then determinant of `(P^(2)+Q^(2))` is equal to :

A

`-2`

B

`1`

C

0

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
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  2. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

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  3. Let P and Q be 3xx3 matrices P ne Q. If P^(3)=Q^(3) and P^(2)Q=Q^(2)P,...

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  4. The number of values of k for which the linear equations 4x+ky+2...

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  5. Let A and B two symmetric matrices of order 3. Statement 1 : A(BA) a...

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  6. If the trivial solution is the only solution of the system of equation...

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  7. Statement-1:Determination of a skew-symmetric matrix of order 3 is zer...

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  8. If omega=1 is the complex cube root of unity and matrix H=|{:(,omega,0...

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  9. Consider the system of linear equations: x(1) + 2x(2) + x(3) = 3 2...

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  10. The number of 3 x 3 non-singular matrices, with four entries as 1 and ...

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  11. Let a be a 2xx2 matrix with non-zero entries and let A^(2)=I, where I ...

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  12. Let a,b,c be such that b(a+c) ne 0. If |{:(a,a+1,a-1),(-b,b+1,b-1)...

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  13. Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...

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  14. Let A be a 2xx2 matrix with real entries. Let I be the 2xx2 identity...

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  15. Let a,b,c, be any real number. Suppose that there are real numbers x,y...

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  16. Let A be a square matrix all of whose entries are integers. Which on...

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  17. If D =|{:(1,1,1),(1,1+x,1),(1,1,1+y):}|"for" " "xne0,yne0 then D is

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  18. Let A= [[5,5alpha,alpha],[0,alpha,5alpha],[0,0,5]] . If |A^2|...

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  19. If A and B f are square matrices of size nxxn such that A^(2) - B^(2...

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  20. Let A =((1,2),(3,4))and B= ((a,0),(0,b)), a, bin N. Then,

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