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If {:A=[(0,1),(1,0)]:},I is the unit mat...

If `{:A=[(0,1),(1,0)]:}`,I is the unit matrix of order 2 and a, b are arbitray constants, then `(aI +bA)^2` is equal to

A

`a^(2)I+abA`

B

`a^(2)I+2abA`

C

`a^(2)I+b^(2)A`

D

None of these

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The correct Answer is:
B
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DISHA PUBLICATION-MATRICES-Exercise 1: Concept Builder (Topic 2)
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  8. If [(alpha,beta),(gamma,-alpha)] is square root of identity matrix of ...

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  9. If A=[(1,0),(3,-1),(-5,2)] and B=[(1,-2),(-2,2),(1,1)] , then find the...

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  13. If A is involuntary matrix and I is unit matrix of the same order then...

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  14. Suppose a matrix A satisfies A^(2)-5A+7I=0. If A^(8)=aA+bI, find a-b.

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  17. Matrix A ha s m rows and n+ 5 columns; matrix B has m rows and 11 - n ...

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  18. If X=[{:(3,-4),(1,-1):}],B=[{:(5,2),(-2,1):}]and A=[{:(p,q),(r,s):}] I...

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  19. If {:A=[(costheta,sintheta),(-sintheta,costheta)]:}, " then "underset(...

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  20. If matrix A=([a(i j)])(2xx2) , where a(i j)={1,\ if\ i!=j0,\ if\ i+j ,...

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