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P+Q=[(1,6),(7,2)] , P is a symmetric, Q ...

`P+Q=[(1,6),(7,2)]` , P is a symmetric, Q is a skew symmetric then P =

A

`((1,(-13)/(2)),((-13)/(2),0))`

B

`((1,13/2),(13/2,2))`

C

`((0,13/2),(13/2,0))`

D

`((0,(-13)/(2)),(13/2,0))`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-MATRICES -ALGEBRA OF MATRICES -PRACTICE EXERCISE
  1. If A=[(k,2,3),(-2,0,5),(-3,-5,0)] is a skew symmetric matrix then k =

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  2. If A=[(0,1,-2),(-1,0,3),(2,-3,0)] then A+A^(T)=

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  3. P+Q=[(1,6),(7,2)] , P is a symmetric, Q is a skew symmetric then P =

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  4. If A=[(x,3,2),(-2,y,-7),(-2,7,0)] and A=-A^(T) then x+y=

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  5. If A=[(1,1,3),(5,2,6),(-2,-1,-3)] then A is

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  6. If A is square matrix then A A^(T) is . . . . Matrix

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  7. Let A be a square matrix. Then A+A^(T) will be

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  8. If A and B are two symmetric matrices then AB + BA is

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  9. If A=((x,0,0),(0,x,0),(0,0,x)) then A^(n)=(ninN)

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  10. If A is a symmetric matrix and n epsilon N, then A^(n) is

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  11. If A=[(0,1),(1,0)] then A^(2004)=

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  12. If A=[(1,3),(3,4)] and A^(2)-kA-5I(2)=O then k=

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  13. If the matrix A=((1,-1),(-1,1)) then A^(n+1)=

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  14. [(2,-1),(3,-2)]^(n)=[(1,0),(0,1)] if n is

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  15. If A=[(1,1),(1,1)] and ninN then A^(n)=

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  16. IF A=[{:(costheta,sintheta),(-sintheta,costheta):}] then show that for...

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  17. If A=[(0,a+1,b-2),(2a-1,0,c-2),(2b+1,2+x,0)] is skew symmetric then a+...

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  18. If A is a skew symmetric matrix and n is an even positive integer then...

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  19. A=[a(ij)](3xx3) is a square matrix so that a(ij)=i^(2)-j^(2) then A is...

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  20. A is a symmetric matrix or skew symmetric matrix. Then A^(2)is

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