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if A=[[2,-3],[-4,1]] then (3A^2+12A)=?...

if `A=[[2,-3],[-4,1]]` then `(3A^2+12A)=?`

A

`[[72,-63],[-84,51]]`

B

`[[72,-84],[-63,51]]`

C

`[[51,63],[84,72]]`

D

`[[51,84],[63,72]]`

Text Solution

Verified by Experts

The correct Answer is:
C
`because A^(2) = [[2,-3],[-4,1]][[2, -3],[-4, 1]]= [[16,-9],[-12,13]]`
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ARIHANT MATHS-MATRICES -Exercise (Questions Asked In Previous 13 Years Exam)
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  2. Let A and B are symmetric matrices of order 3. Statement -1 A (BA) a...

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  3. Let P = [a(ij)] " be a " 3 xx 3 matrix and let Q = [b(ij)], " where " ...

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  4. If P is a 3xx3 matrix such that P^T = 2P+I, where P^T is the transpose...

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  5. If the adjoint of a 3 3 matrix P is 1 4 4 2 1 7 1 1 3 , then the po...

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  6. If A =((1,0,0),(2,1,0),(3,2,1)) u(1) and u(2) are the column matrices ...

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  7. Let P and Q be 3xx3 matrices with P!=Q . If P^3=""Q^3a n d""P^2Q""=""Q...

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  8. If P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of a 3 x 3 matrix ...

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  9. For 3xx3 matrices Ma n dN , which of the following statement (s) is (a...

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  10. Let omega be a complex cube root of unity with omega!=1a n dP=[p(i j)]...

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  11. If A is an 3xx3 non-singular matrix such that A A^T=A^TA and B=A^(-1)A...

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  12. Let M be a 2xx2 symmetric matrix with integer entries. Then , M is i...

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  13. Let m and N be two 3x3 matrices such that MN=NM. Further if M!=N^2 and...

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  14. If A=[1 2 2 2 1-2a2b] is a matrix satisfying the equation AA^T=""9I , ...

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  15. Let Xa n dY be two arbitrary, 3xx3 , non-zero, skew-symmetric matrices...

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  16. If A=[5a-b3 2] and A adj A=AA^T , then 5a+b is equal to: (1) -1 (2) ...

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  17. Let p=[(3,-1,-2),(2,0,alpha),(3,-5,0)], where alpha in RR. Suppose Q=[...

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  18. let z= (-1+sqrt(3i))/2, where i=sqrt(-1) and r,s epsilon P1,2,3}. Let ...

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  19. Let P=[[1,0,0],[4,1,0],[16,4,1]]and I be the identity matrix of order ...

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  20. if A=[[2,-3],[-4,1]] then (3A^2+12A)=?

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