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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
- A trust invested some money in two types of bonds. The first bond pays...
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- If A=[-1// 2// 3] and B=[-2\ \ -1\ \ -4] , verify that (A B)^T=B^T\ A^...
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- If A=[[costheta -sintheta], [[sinthe...
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- If A=[(1 2 2)[, (2 1 -2),(a 2 b)] is a matrix satisfying A A^T=9I3 , t...
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- Find the values of x,y,z if the matrix A=[[0,2y,z],[x,y,-z],[x,-y,z]] ...
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- Let A=[(2,-3),(-7, 5)] and B=[(1, 0),( 2,-4)] , verify that (2A)^T=2A^...
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- If A=[[3] , [ 5] , [2] ] and B=[1\ \ 0\ \ 4] , verify that (A B)^T=B^T...
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- Let A=[1-1 0 2 1 3 1 2 1]a n dB=[1 2 3 2 1 3 0 1 1]dot Find A^T ,B^T a...
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- If A=[[-2],[4], [5]], B=[[1 ,3,-6]], verify that (A B)' = B'A'.
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- If A=[[2 , 4 ,-1] , [-1 , 0 , 2]] , B=[[3 , 4], [-1 ,2] , [ 2 ,1]] , ...
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- For the matrices A and B , A=[[2 ,1 ,3 ] , [4 ,1 ,0 ]] , B=[[1 , -1] ,...
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- For two matrices A and B , verify that (A B)^T=B^T\ A^T , where A=[[1 ...
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- 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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- If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] , then verify that A^T...
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- If A=[[sinalpha,cosalpha],[-cosalpha,sinalpha]], verify that A^T A=I2
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- Let li,mi,ni; i=1,2,3 be the direction cosines of three mutually perpe...
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- Show that the elements on the main diagonal of a skew-symmetric mat...
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- If the matrix A=[[0,a,-3],[2,0,-1],[b,1,0]] is skew-symmetric, find ...
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- Let A be a square matrix. Then prove that (i) A + A^T is a symmetric m...
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- Prove that every square matrix can be uniquely expressed as the sum of...
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