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If A=[{:(2,-1),(2,1):}],B=[{:(a,1),(b,-1...

If `A=[{:(2,-1),(2,1):}],B=[{:(a,1),(b,-1):}]and(A+B)^(2)=A^(2)+B^(2)+2AB` then ………….

A

`a=2,b=-2`

B

`a=2,b=2`

C

`a=-2,b=2`

D

`a=-2,b=-2`

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The correct Answer is:
D
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KUMAR PRAKASHAN-MATRICES -TEXTBOOK BASED MCQS
  1. If a matricx [{:(0,2beta,gamma),(alpha,beta,-gamma),(alpha,-beta,gamma...

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  2. If A=[{:(1,0,0),(0,1,0),(0,0,1):}] then A^(2)+2A= ……….

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  3. If A=[{:(2,-1),(2,1):}],B=[{:(a,1),(b,-1):}]and(A+B)^(2)=A^(2)+B^(2)+2...

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  4. If A=[{:(i,0),(0,i):}], n inN then A^(4n)=...... (where I is imaginar...

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  5. U=[2" "-3" "4],V=[{:(3),(2),(1):}] X=[0" "2" "3]and Y=[{:(2),(2),(4)...

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  6. If A is a square matrix then A - A' is a …… matrix.

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  7. For matrices A and B, A +B and AB are difined then ……

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  8. If A=[a" "b],B=[-b" "-a]andC=[{:(a),(-a):}] then out of the following...

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  9. If A(x)=[{:(cosx,-sinx),(sinx,cosx):}] then A((pi)/(2)).A(pi)= ………

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  10. If A=[{:(1,1),(1,1):}] then A^(100) ………

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  11. Matrix [{:(0,5,-7),(-5,0,11),(7,-11,0):}]is a ..... matrix.

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  12. Out of the following which statement is false ?

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  13. A matrix A has x rows and x+5 column . A matrix B has y rows and 11 -...

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  14. P=[{:((2)/(3),3k,a),(-(1)/(3),-4k,b),((2)/(3),-5k,c):}]If PP^(T)=I and...

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  15. C is a skew symmetric matrix of order n. X is a column matrix of order...

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  16. If A^(2)=A then (I+A)^(4)=.........

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  17. If AB=AandBA=B then A^(2)+B^(2)= ………..

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  18. If A is any square matrix then AA' is a ………. Matrix.

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  19. If A and B are square matrices of same order then (A^(-1)BA)^(n)= ………...

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  20. A=[{:(0,1,2),(1,2,3),(3,a,1):}]and A^(-1)=[{:(1/2,-1/2,1/2),(-4,3,c),(...

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