If A=[[1,2,3],[-1,0,2],[1,-3,1]], B=[[4,...

If `A=[[1,2,3],[-1,0,2],[1,-3,1]], B=[[4,5,6],[-1,0,1],[2,1,2]], C=[[-1,-21],[-1,2,3],[-1,-2,2]]` find A-2B+3C. Also verify that (A+B)+C=A+(B+C).

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The correct Answer is:

`[(4,-3,2),(4,2,-4),(10,6,3)]:"Yes"`

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If A=[[1,2,3],[-1,0,2],[1,-3,1]], B=[[4,5,6],[-1,0,1],[2,1,2]], C=[[-1,-2,1],[-1,2,3],[-1,-2,2]] find A-2B+3C. Also verify that (A+B)+C=A+(B+C).

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MODERN PUBLICATION-MATRICES-Exercise 3 (e ) Long Answer Type Questions (I)

Show that A-A^(T) is skew - cymmetric matrix, where A^(T) denotes the ...
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Show that A-A^(T) is skew - cymmetric matrix, where A^(T) denotes the ...
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If A=[[1,2,3],[-1,0,2],[1,-3,1]], B=[[4,5,6],[-1,0,1],[2,1,2]], C=[[-1...
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If (i) A=[cosalphasinalpha-sinalphacosalpha] , then verify that Aprime...
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If A=[(sinalpha,cosalpha),(-cosalpha,sinalpha)], the prove that A'A=I.
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A=[(-1,3,0),(-7,2,8)],B=[(-5,0),(0,3),(1,-8)]. then AB
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A=[(3,4),(4,5)],B=[(5,3),(2,1)] then AB is ?.
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If A=[(5,-1),(6,7)],B=[(2,1),(3,4)] and C=[(1,3),(-1,4)], verify the f...
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Let A be a square matrix. Then prove that A A^(T) and A^(T) A are symm...
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Verify that : A+A' is a Symmetric Matrix.
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Verify that : A-A' is Skew - symmetric Matrix when : (i) A=[(1,5),(6...
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for the matrix A=[{:(1,5),(6,7):}], verify that : (I) (A+A') is a sy...
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for the matrix A=[{:(1,5),(6,7):}], verify that : (I) (A+A') is a sy...
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If A=[(3,1,-1),(0,1,2)], then show that A A' is a symmetric matrix.
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If A=[[0,a,b],[-a,0,c],[-b,-c,0]], find 1/2 (A+A\') and 1/2 (A-AA\')
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Express the matrix [{:(2,3,1),(1,-1,2),(4,1,2):}] as the sum of a symm...
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Express [(3,-4),(1,-1)] as the sum of symmetric and skew-symmetric ma...
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Prove that diagonal elements of a skew symmetric matrix are all zeroes...
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Show that the matrix B^TA B is symmetric or skew-symmetric according a...
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Let A and B be symmetric matrices of the same order. Then show that : ...
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