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Find the inverse of [0 1-1 4-3 4 3-3 4]...

Find the inverse of `[0 1-1 4-3 4 3-3 4]`

A

2A

B

`1/2A^(-1)`

C

`1/2A`

D

`A^2`

Text Solution

Verified by Experts

The correct Answer is:
A
It is given that A is an involutory matrix.
`:. A^2=I`
`rArr A A =IrArr(1/2A)(2A)=IrArr (1/2A)^(-1)=(2A)`
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OBJECTIVE RD SHARMA ENGLISH-MATRICES-Section I - Solved Mcqs
  1. If A=[(1,0,0),(0,1,1),(0,-2,4)] , 6A^(-1)=A^2+cA+dI, then (c,d) is :

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  2. Let {:A=[(1,0,0),(2,1,0),(3,2,1)]:}and U1,U2,U3 be column matrices sat...

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  3. If U={:[(1,2,2),(-2,-1,-1),(1,-4,-3)]:}' ,sum of elements of inverse o...

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  4. If U is same as in Example 50, then the value of {:[(3,2,0)]U[(3),(2),...

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

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  6. If A and B are any two different square matrices of order n with A^3=B...

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  7. Let A=[(0,0,-1),(0,-1,0),(-1,0,0)] Then only correct statement about t...

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

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

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  10. If {:A=alpha[(1,1+i),(1-i,-1)]:}a in R, is a unitary matrix then alpha...

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  11. The value of a,b,c when [(0,2b,c),(a,b,-c),(a,-b,c)] is orthogonal , ...

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  12. If A=[a(ij)](nxxn), where a(ij)=i^100+j^100, then lim(ntooo) ((overse...

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  13. If A and B are two non-singular matrices which commute, then (A(A+B)^...

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  14. Find the inverse of [0 1-1 4-3 4 3-3 4]

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  15. In a 4xx4 matrix the sum of each row, column and both the main diagona...

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  16. If A=([a(i j)])(4xx4,) such that a(i j)={2,w h e ni=j0,w h e ni!=j ,t ...

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  17. If A is skew-symmetric matrix of order 2 and B=[(1,4),(2,9)] and c[(9...

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

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  19. Let z=(-1+sqrt(3)i)/(2), where i=sqrt(-1), and r, s in {1, 2, 3}. Let ...

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  20. How many 3xx3 matrices M with entries from {0, 1, 2} are there, for wh...

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