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P=[{:((2)/(3),3k,a),(-(1)/(3),-4k,b),((2...

`P=[{:((2)/(3),3k,a),(-(1)/(3),-4k,b),((2)/(3),-5k,c):}]`If `PP^(T)=I and k=(1)/(sqrt(50))` then the value of a,b,c are respectively …………

A

`+-(16)/(5sqrt(2)),+-(13)/(5sqrt(2)),+-(1)/(3sqrt(2))`

B

`+-(1)/(3sqrt(2)),+-(13)/(5sqrt(2)),+-(16)/(15sqrt(2))`

C

`+-(13)/(15sqrt(2)),+-(16)/(15sqrt(2)),+-(1)/(3sqrt(2))`

D

None of these

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-MATRICES -TEXTBOOK BASED MCQS
  1. Out of the following which statement is false ?

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

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

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

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

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

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

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

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  9. 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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  10. [{:((1)/(25),0),(x,(1)/(25)):}]=[{:(5,0),(-a,5):}]^(-2) then x =………..

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  11. [1" "x" "1][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(x):}]=0 then x=……...

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

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

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

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

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

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

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

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

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