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RS AGGARWAL-MATRICES-Exercise 5D
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Playing Now - If A=[{:(3," "5),(-2," "0),(4,-6):}], verify that 2A'=(2A)'.
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Play - If A=[[3,2,1] , [-5,0,-6]] and B=[[-4,-5,-2], [3,1,8]] then verify tha...
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Play - If P=[{:(3,4),(2,-1),(0,5):}]" and "Q=[{:(7,-5),(-4," "0),(2," "6):}],...
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Play - if A=[[4,1],[5,8]] show that A+A' is symmetric
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Play - If A=[[3,-4],[ 1,-1]] , show that A-A^T is a skew symmetric matrix.
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Play - Show that the matrix A=[{:(0,a,b),(-a,0,c),(-b,-c,0):}] is skew-symmet...
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Play - Express the matrix A=[{:(2,3),(-1,4):}] as the sum of a symmetric matr...
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Play - Express the matrix A=[{:(3,-4),(1,-1):}] as the sum of a symmetric mat...
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Play - Express the matrix A=[{:(-1,5,1),(2,3,4),(7,0,9):}] as the sum of a sy...
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Play - Expess the matrix A as the sum of a symmetric and a skew-symmetric mat...
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Play - Let A=[3 2 5 4 1 3 0 6 7] Express A as sum of two matrices such th...
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Play - For each of the following pairs of matrices A and B, verify that (AB...
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Play - If A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}], show that A'A=I.
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Play - If matrix A=[1\ \ 2\ \ 3] , write AA^T .
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