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If A=[(cos alpha, sin alpha),(-sin alpha...

If `A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)]` then `"AA"^(T)=`

A

`[(1,0),(0,1)]`

B

`[(-1,0),(0,-1)]`

C

`[(5,0,-2),(0,6,0),(-2,6,2)]`

D

`[(0,0,0)]`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1A MCQ (ALGEBRA OF MATRICES)
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  2. If A=[(0,i),(-i,0)] then "AA"^(T)=

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  3. If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] then "AA"^(T)=

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  4. If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)], then (2A)(1/4A...

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  5. If A=[(2,0,-1),(1,1,2),(-1,1,0)] then "AA"^(T)=

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  6. If A=[(2,3),(5,-7)] then (A')^(2)=

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  7. If A=[(0,-1),(1,0)] then

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  8. If A=[(cos theta, sin theta, 0),(-sin theta, cos theta, 0),(0,0,1)] th...

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  9. If 3A=[(-1,2,2),(2,-1,2),(2,2,-1)] then

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  10. If A=[(0,1),(1,0)], B=[(2,0),(0,1)] then (AB)^(T)=

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  11. If A=[(3,0),(-4,-1)],B=[(3,5,-7),(0,-1,8)],C=[(6),(-1),(0)] then C'B'A...

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  12. If 5A=[(3,-4),(4,x)] and "AA"^(T)=A^(T)A=I then x=

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  13. If A is a square matrix then "AA" is

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  14. A and B are two matrices each of order nxxn. Then which of the followi...

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  15. If A and B are two symmetric matrix of same order, then show that (AB-...

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

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  17. If A is a skew symmetric matrix and n is a positive integer then A^(n)...

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  18. If A is a skew-symmetric matrix and n is odd positive integer, then A^...

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

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

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