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Matrix A=[{:(0,2y,z),(x,y,-z),(x,-y,z):}...

Matrix `A=[{:(0,2y,z),(x,y,-z),(x,-y,z):}]` if `A A^(T)=I` then , `(x,y,z)=(...,...,...)(x,y,zgt0)`

A

`((1)/(sqrt(2)),(1)/(sqrt(3)),(1)/(sqrt(6)))`

B

`((1)/(sqrt(2)),(1)/(sqrt(6)),(1)/(sqrt(3)))`

C

`((1)/(sqrt(3)),(1)/(sqrt(2)),(1)/(sqrt(6)))`

D

`((1)/(sqrt(6)),(1)/(sqrt(2)),(1)/(sqrt(3)))`

Text Solution

Verified by Experts

The correct Answer is:
B
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KUMAR PRAKASHAN-MATRICES -TEXTBOOK BASED MCQS
  1. A is a 3xx4 matrix .A matrix B is such that A'B and BA' are defined . ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If A=[{:("cos"(2pi)/(3),-"sin"(2pi)/(3)),("sin"(2pi)/(3),"cos"(2pi)/(3...

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  18. Check , whether , (1)/(11)[{:(-1,8,alpha),(1,-19,14),(2,6,-5):}] is a...

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  19. If A=[{:(2x,9),(-3,-2):}]and|A|=3 then x = ...., x in R

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  20. For A=[a(ij)](nxxn)'a(ij)=0,i nej then is a .... matrix . (a(ii)nea(ij...

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