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If the matrix A is such that ({:(1,3),(...

If the matrix A is such that `({:(1,3),(0,1):})A=({:(1,1),(0,-1):})`, then what is A equal to ?

A

`{:[(1,0),(-3,1)]:}`

B

`{:[(1,-4),(0,1)]:}`

C

`{:[(1,-3),(0,1)]:}`

D

`{:[(1,-1),(-3,1)]:}`

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The correct Answer is:
B
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AAKASH INSTITUTE-MATRICES-Assignment (Section - A) Objective Type Questions (One option is correct)
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  2. Each diagonal elemetn of a skew symmetric matrix is (A) zero (B) negat...

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  5. if for a matrix A, A^2+I=O, where I is the identity matrix, then A equ...

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  6. If A and B are two matrices such that AB=B and BA=A, then

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  11. If the matrix A is such that ({:(1,3),(0,1):})A=({:(1,1),(0,-1):}), t...

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  12. If A is a squqre matrix such that A^(2)=l, then A^(-1) is equal to

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  13. If X+{:[(2,1),(6,1)]:}={:[(1,1),(0,1)]:} then 'X' is equal to

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  15. If {:[(x,1),(-1,-y)]:}+{:[(y,1),(3,x)]:}={:[(1,2),(2,1)]:}, then

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  17. If A={:[(1,2),(-1,8),(4,9)]:}andX+A=0, then X is equal to

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  18. Show that costheta.[{:(costheta,sintheta),(-sintheta,costheta):}]+sint...

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  19. If {:[(x+y,y-z),(z-2x,y-x)]:}={:[(3,-1),(1,1)]:}, then

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  20. If A=[{:(1,-3,2),(2," "0,2):}]" and "B=[{:(2,-1,-1),(1," "0,-1):}], fi...

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