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[{:((1)/(25),0),(x,(1)/(25)):}]=[{:(5,0)...

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

A

`(a)/(125)`

B

`(2a)/(25)`

C

`(2a)/(125)`

D

`(2a)/(25)`

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-MATRICES -TEXTBOOK BASED MCQS
  1. If A and B are square matrices of same order then (A^(-1)BA)^(n)= ………...

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  2. 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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  3. [{:((1)/(25),0),(x,(1)/(25)):}]=[{:(5,0),(-a,5):}]^(-2) then x =………..

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  4. [1" "x" "1][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(x):}]=0 then x=……...

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

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

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

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

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

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  10. If A is skew -symmetric 3xx3 matrix , |A| =……..

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  11. The system of equations ax+y+z=a-1,x+ay+z=a-1andx+y+az=a-1 does not h...

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  12. If A=[{:(a,b),(b,a):}]andA^(2)=[{:(x,y),(y,x):}] then , x=……, y=…….

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  13. If alphaandbeta are not the multiple of (pi)/(2)and [{:(cos^(2)alpha,c...

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  14. If [{:(x,0),(1,y):}]-[{:(2,-4),(-3,-4):}]=[{:(3,5),(6,3):}]-[{:(2,1),(...

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  15. If inverse of A=[{:(1,-1,1),(2,1,-3),(1,1,1):}]is (1)/(10)[{:(4,2,2),(...

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  16. If AB=BAandA=[{:(1,1),(0,1):}]then, B=......

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  17. If A=[{:(1,3),(3,4):}]andA^(2)=kA=5I=O,then k =....

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  18. If [1" "x" "1][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(x):}]=O, then x...

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  19. Matrix A=[{:(0,2y,z),(x,y,-z),(x,-y,z):}] if A A^(T)=I then , (x,y,z...

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  20. If A[{:(1,-2,-5),(3,4,0):}]=[{:(-1,-8,-10),(1,-2,-5),(9,22,15):}] the...

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