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If A is a 3xx3 non -singular matrix such...

If A is a `3xx3` non -singular matrix such that `"AA"^(T)=A^(T)A "and" B=A^(-1)A^(T), "then" BB^(T)`=

A

A

B

B

C

I

D

`B^(T)`

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C
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PREMIERS PUBLISHERS-APPLICATIONS OF MATRICES AND DETERMINANTS -SOLUTION TO EXERCISE 1.8
  1. If |adj (adj A)|=|A|^(9) square matrix A is

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  2. If A is a 3xx3 non -singular matrix such that "AA"^(T)=A^(T)A "and" B=...

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  3. A= [(3,5),(1,2)], B=adj A and C =3A, then (|adj B|)/(|C|)=

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  4. If A [(1,-2),(1,4)]=[(6,0),(0,6)], then A=

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  5. If A = [(7,3),(4,2)] ,"then" " "9I(2)-A=

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  6. If A = [(2,0),(1,5)]" and B"=[(1,4),(2,0)] then |adj(AB)|=

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  7. If P = |(1,x,0),(1,3,0),(2,4,-2)| is the adjoint of 3xx3 matrix A and ...

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  8. If A = [{:(3," "1,-1),(2,-2," "0),(1," "2,-1):}] "and"" "A^(-1)=[(a(11...

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  9. If A, B and C are invertible matrices of some order, then which one of...

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  10. If (AB)^(-1)=[(12,-17),(-19,27)] "and"A^(-1)=[(1,-1),(-2,3)] "then"" "...

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  11. If A^(T).A^(-1) is symmetric, then A^(2)=

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  12. If A is a non-singular matrix such that A^(-1)=[(5,3),(-2,-1)], "then"...

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  13. A = [((3)/(5),(4)/(5)),(x,(3)/(5))] "and" A^(T)=A^(-1), then the value...

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  14. If A = [(1,tan""(theta)/(2)),(-tan""(theta)/(2),1)] and AB = I(2), the...

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  15. If A=[[cos theta,sin theta],[-sin theta,cos theta]] and A(adj A)=[[k,0...

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  16. If A=[(2,3),(5,-2)] be such that lambdaA^(-1) = A, then lambda is

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  17. If adj A=[[2,3],[4,1]] and adj B=[[1,-2],[-3,1]] then adj (AB) is :

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  18. The rank of the matrix [(1,2,3,4),(2,4,6,8),(-1,-2,-3,-4)] is

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  19. If x^(a)y^(b)=e^(m),x^(c)y^(d)=e^(n),Delta(1)=[(m,b),(n,d)]Delta(2)=[(...

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  20. Which of the following is/are correct ? (i) Adjoint of a symmetric m...

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