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If A=[(a,p),(b,q),(c,r)](3xx2) then Det ...

If `A=[(a,p),(b,q),(c,r)]_(3xx2)` then Det `("AA"^(T))` is equal to

A

0

B

`a^(2)+b^(2)+c^(2)`

C

`p^(2)+q^(2)+r^(2)`

D

`Sigma ap`

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The correct Answer is:
B
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ML KHANNA-MATRICES-PROBLEM SET(1) (MULTIPLE CHOICE QUESTIONS)
  1. If A and B symmetric matrices of the same order then AB-BA is a matrix...

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  2. If A=[(0,-1,-4),(1,0,-7),(4,7,0)] then A^(T)=

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  3. If A=[(a,p),(b,q),(c,r)](3xx2) then Det ("AA"^(T)) is equal to

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

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

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  6. If I(3) is identity matrix of order 3, then I(3)^(-1)=

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  7. From the matrix equation AB=AC we can conclude B=C provided the matrix...

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

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

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  10. If B is a non singular matrix and A is a square matrix, the det(B^(-1)...

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

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

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

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  14. Which of the following matrices is not invertible

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

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

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

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

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

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

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