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The inverse of the matrix [[1 , -2],[3 ,...

The inverse of the matrix `[[1 , -2],[3 ,4 ]]` is

A

`(1)/(10)[[1 , -2],[3 , 4]]`

B

`(1)/(10)[[4 , 2],[-3 , 1]]`

C

`[[4 , 2],[-3 , 1]]`

D

`(1)/(10)[[4 , -2],[-3 , 1]]`

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
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  2. If A and B are square matrices of the same order, then show that (AB)^...

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  3. The inverse of the matrix [[1 , -2],[3 ,4 ]] is

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  4. Inverse of the matrix [[cos 2 theta,-sin 2 theta],[sin 2 theta , cos 2...

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  5. If A=[[1 ,-1] , [-1 , 1]], then A^(2)=

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  6. If A=[[3 ,1] , [-1 , 2]] then A^(2)=

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  7. If A(theta) = [(cos theta ,sin theta ),(-sin theta ,cos theta )] then...

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  8. If A= [[1,1,1],[1,1,1],[1 ,1,1]] then A^(2)=

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  9. If A = [[ 2 ,-1] , [ 0 , 1 ]] and B=[[-3],[4]] then A B=

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  10. If [[x+y] , [x-y]]=[[2,1] , [4,3]] [[1],[-2]] then (x,y)

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  11. If A=[[sin theta , cos theta],[-cos theta , -sin theta]] then A^(2)=

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  12. If the order of the matrix A=4xx 3, the order of B=4xx 5 and the order...

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  13. [[x-y, 8], [ x+y, 9]] =[[2,8],[4,9]], then (x, y)

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  14. Let A = [[1,2],[0,1]]. Then A^(n) =

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  15. If A=[[2,3 ],[4,1]], B=[[1,2],[3,1]], then 2 A-3 B is

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  16. If [[x,1],[-1,-y]]+[[y,1],[3,x]]=[[1,2],[2,1]] , then (x,y) =

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  17. If A and B are two square matrices of same order then (A B)^(prime)=

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  18. If A=[(3,5),(2,0)] and B = [(1,17),(0,-10)] then |AB| is equal to

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  19. The matrix [[0, 5,-7], [-5,0,11],[7,-11,0]] is known as

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  20. If in a square matrix A=(a(i j)) we have a(ji)=a(i j) for all i, j the...

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