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

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

A

100 A

B

`2^(99)A`

C

`2^(100)A`

D

99 A

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The correct Answer is:
B
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KUMAR PRAKASHAN-MATRICES -TEXTBOOK BASED MCQS
  1. If A=[a" "b],B=[-b" "-a]andC=[{:(a),(-a):}] then out of the following...

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

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

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

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  5. Out of the following which statement is false ?

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

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

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

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

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

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

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

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  13. 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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  14. [{:((1)/(25),0),(x,(1)/(25)):}]=[{:(5,0),(-a,5):}]^(-2) then x =………..

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  15. [1" "x" "1][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(x):}]=0 then x=……...

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  16. A is a 3xx4 matrix .A matrix B is such that A'B and BA' are defined . ...

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  17. P is a 2xx2 matrix . P'=P^(-1) then P=……..

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  18. A is a 3xx3 matrix , then |3A|=....|A|.

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  19. If A=[a(ij)](nxxn) such that a(ij)=0, for i nej then , A is …….. (a(...

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  20. A=[{:(0,0,-1),(0,-1,0),(-1,0,0):}],the correct statement is ......

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