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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

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The correct Answer is:
C
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TARGET PUBLICATION-MATRICES-COMPETITIVE THINKING (Inverse off a matrix )
  1. If X=[[-x, -y], [z, t]], then transpose of adjX is

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  2. Let A=[(1,0,0),(5,2,0),(-1,6,1)], then the adjoint of A is

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

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  4. If A=[(1,-1,1),(0,2,-3),(2,1,0)],B=(adjA) and C=5A, then (|adjB|)/(|C|...

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  5. If A=[{:(3,2),(1,4):}], then what is A (adj A) equal to ?

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  6. If A=[(cos x, sin x),(-sin x,cos x)], then A(adj A)=

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  7. If A=[(cos alpha,sin alpha),(-sin alpha,cos alpha)] and A. adj A=[(k,...

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  8. If k is a scalar and l is a unit matrix of order 3 then adj(kl) is equ...

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  9. If x is square materix of order 3xx3 and lambda is a scalar, then adj ...

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  10. If A is a singular matrix, then adj A is a. singular b. non singula...

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

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  12. If A={:[(4,2),(3,4)],:}" then: "|adj,A|=

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  13. For a invertible matrix A if A (adj A) =[(10,0),(0,10)] then |A...

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  14. If A is a matrix of order 3, such that A(adj A)=10I, then |adj A|=

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

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  17. adj AB -(adj B)(adj A) =

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  18. If A=[(2x,0),(x,x)] and A^(-1)=[(1,0),(-1,2)] then x equals to

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  19. If A=[(x,-2),(3,7)] and A^(-1)=[(7/34,1/17),((-3)/34,2/17)],then the v...

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  20. Let A =[(1,-1,1),(2,1,-3),(1,1,1)] and 10B=[(4,2,2),(-5,0,alpha),(...

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