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

If `A=[{:(i,0),(0,i):}], n inN` then `A^(4n)=`...... (where I is imaginary complex number and `i^(2)=-1)`

A

`[{:(i,0),(0,i):}]`

B

`[{:(0,0),(0,0):}]`

C

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

D

`[{:(0,-i),(i,0):}]`

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-MATRICES -TEXTBOOK BASED MCQS
  1. If A=[{:(1,0,0),(0,1,0),(0,0,1):}] then A^(2)+2A= ……….

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

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

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

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

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

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

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

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

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

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  11. Out of the following which statement is false ?

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

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

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

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

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

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

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

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  19. 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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  20. [{:((1)/(25),0),(x,(1)/(25)):}]=[{:(5,0),(-a,5):}]^(-2) then x =………..

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