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

If `A=[{:(cos alpha, sin alpha),(-sin alpha, cos alpha):}]`, then what is `A"A"^(T)` equal to (where `A^(T)` is the transpose of A) ?

A

only one B

B

I

C

A

D

`-A`

Text Solution

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The correct Answer is:
D
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ML KHANNA-MATRICES-PROBLEM SET(1) (MULTIPLE CHOICE QUESTIONS)
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  2. If A=[(a,p),(b,q),(c,r)](3xx2) then Det ("AA"^(T)) is equal to

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  3. If A=[{:(cos alpha, sin alpha),(-sin alpha, cos alpha):}], then what i...

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  4. If A=[(-1,-2,-2),(2,1,-2),(2,-2,1)] the adj. A=

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  7. If A and B are square matrices of order 3 such that |A|=-1,|B|=3, the ...

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  8. If reach element of a 3xx3 matrix is multiplied by 3, then the determi...

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  10. Matrix A(lamda)=[(lamda, lamda-1),(lamda-1,lamda)], lamda in N The v...

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  11. If A is a square matrix such that |A|=2, then |A'|, where A' is transp...

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  12. If A=[(a,b),(c,d)] such that ad-bc!=0, then A^(-1) is equal to

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  13. Which of the following matrices is not invertible

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  14. The system of linear equations ax+by=0,cx+dy=0, has a non trivial solu...

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  15. If A=[(1,-6,2),(0,-1,5)] and B=[(2),(2),(1)] then AB equals

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  16. If A=[(1,0,0),(0,1,0),(0,0,1)] then A^(2)+2A equals

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  17. If A=[(1,1,1),(1,1,1),(1,1,1)] then A^(2)=

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  18. If [(alpha, beta),(gamma,-alpha)] is to be square root of the two rowe...

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  19. If A=[(a,b),(b,a)] and A^(2)=[(alpha, beta),(beta, alpha)]then (alpha,...

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  20. If A= (a(ij)) is a 4xx4 matrix and C(ij), is the co-factor of the ele...

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