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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
- If A is an mxxn matrix and B is nxxp matrix does A B exist? If yes, wr...
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- If A=[2 1 4 4 1 5] and B=[3-1 2 2 1 3] . Write the orders of A B and B...
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- If A=[4 3 1 2] and B=[-4 3] , write A B .
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- If A=[1 2 3] , write AA^T .
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- Give an example of two non-zero 2xx2 matrices A and B such that A B...
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- If A=[2 3 5 7] , find A+A^T .
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- If A=[i0 0i] , write A^2 .
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- If A=[(cosx,sinx),(-sinx,cosx)] , find x satisfying 0<x<pi/2 when A+A^...
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- If A=[(cosx,-sinx),(sinx,cosx)] , find AA^T
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- If [(1, 0),(y,5)]+2[(x,0),( 1,-2)]=I , where I is 2xx2 unit matrix. Fi...
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- If matrix A=[[1,-1],[-1 ,1]] and A^2=k A , then write the value of k
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- If A=[1 1 1 1] satisfies A^4=lambdaA , then write the value of lambda
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- If A=[-1 0 0 0-1 0 0 0-1] , find A^2 .
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- If A=[-1 0 0 0-1 0 0 0-1] , find A^3 .
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- If A=[-3 0 0-3] , find A^4 .
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- If [[x,2]][[3],[ 4]]=2, find x
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- If A=[a(i j)] is a 2xx2 matrix such that a(i j)=i+2j , write A .
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- Find a matrix A ,ifA+[2 3-1 4]=[3-6-3 8]
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- If A=[a(i j)] is a square matrix such that a(i j)=i^2-j^2 , then wr...
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- For any square matrix write whether AA^T is symmetric or skew-symm...
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