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If A=[(1 2 2)[, (2 1 -2),(a 2 b)] is a m...

If `A=[(1 2 2)[, (2 1 -2),(a 2 b)]` is a matrix satisfying `A A^T=9I_3` , then find the values of `a` and `b` .

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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
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  3. If A=[(1 2 2)[, (2 1 -2),(a 2 b)] is a matrix satisfying A A^T=9I3 , t...

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

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  6. If A=[[3] , [ 5] , [2] ] and B=[1\ \ 0\ \ 4] , verify that (A B)^T=B^T...

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  10. For the matrices A and B , A=[[2 ,1 ,3 ] , [4 ,1 ,0 ]] , B=[[1 , -1] ,...

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  11. For two matrices A and B , verify that (A B)^T=B^T\ A^T , where A=[[1 ...

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  12. If A^T=[3 4-1 2 0 1] and B=[-1 2 1 1 2 3] , find A^T-B^T .

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  13. If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] , then verify that A^T...

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  14. If A=[[sinalpha,cosalpha],[-cosalpha,sinalpha]], verify that A^T A=I2

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  17. If the matrix A=[[0,a,-3],[2,0,-1],[b,1,0]] is skew-symmetric, find ...

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  18. Let A be a square matrix. Then prove that (i) A + A^T is a symmetric m...

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  19. Prove that every square matrix can be uniquely expressed as the sum of...

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