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Find the values of x, y, z, if the matri...

Find the values of `x, y, z`, if the matrix `A=[[0, 2 y, z],[ x, y, -z],[ x, -y, z]]` satisfy the equation `A^' A=I`

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V PUBLICATION-MATRICES-QUESTION BANK
  1. If A and B are symmetric matrices, prove that A B-B A is a skew symmet...

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  2. Show that the matrix B^' A B is symmetric or skew symmetric according ...

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  3. Find the values of x, y, z, if the matrix A=[[0, 2 y, z],[ x, y, ...

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  4. For what values of x:[[1, 2, 1]] [[1, 2, 0],[ 2, 0, 1],[ 1, 0...

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  5. If A=[[3,1],[-1,2]] then Hence show that A^2-5A+7I=0

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  6. Find x, if [[x,-5,-1]] [[1, 0, 2],[ 0, 2, 1],[ 2, 0, 3]][[x],[...

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  7. Find the matrix X so that X[[1 , 2, 3],[ 4, 5, 6]]=[[-7, -8, -9]...

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  8. If A and B are square matrices of the same order such that A B=B A,the...

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  9. If A=[[alpha ,beta],[ gamma , -alpha]] is such that A^2=I, then A) ...

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  10. If the matrix A is both symmetric and skew symmetric, then: A)A is a d...

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  11. If A is a square matrix such that A^2=A, then (I+A)^3-7 A is equal to ...

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  12. Construct a m xx n matrix A=[[a(ij)]] whose elements a(ij) is given by...

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  13. If [[a+b ,2],[ 5 , a b]]=[[6 , 2],[ 5, 8]], find the values of a an...

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  14. Complete the following product [[1 , 0 , -5],[ 2, 0, 4]][[3 , 1],[ ...

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  15. Find the product [[2],[ -1],[ 3]][[1 , 3 ,6]]

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  16. If omega is a complex cube root of unity, show that [[1 , omega, ome...

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

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  18. Show that the matrix A=[[1 ,-1, 1],[ 1, -1, 1],[ 1, -1, 1]] is...

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  19. There are three families. Family A consists of 2 men, 3 women and 1 ch...

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  20. Express [[4 , 3 , 7],[ 6 , 5, -8],[ 1, 2, 6]] as the sum of a sy...

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