[57],[7[[3,1],[5,2]]]

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If A=[[1,2,3],[3,1,2],[2,3,1]] and B=[[-5,7,1],[1,-5,7],[7,1,-5]] prove that AB=18I_3

If =[[2,3,4],[1,2,3],[4,-5,7]], B= [[2,5,-1],[3,-1,2],[7,2,-3]] , verify that (A+B)'=A'+B'

If A=[[2,3,4],[1,2,3],[4,-5,7]], B= [[2,5,-1],[3,-1,2],[7,2,-3]] , verify that (A+B)'=A'+B'

Write the following as a single matrix: [1,-2,3] [[2,-1,5], [0,2,4],[-7,5,0]] -[2,-5,7]

Express as a sum of a symmetric and a skew symmetric matrix: [[2,-1,3],[5,7,-2],[1,4,6]]

Express [[2,-1,3],[5,7,-2],[1,4,6]] as a sum of a symmetric and a skew symmetric matrix.

By using elementary operations, Find the inverse of the matrix A= [[2,3],[5,7]]

Find the inverse of each of the following matrix if it exists. [[2,-3],[5,7]]

Find the inverse of the following using elementary transformations. A=[[2,3],[5,7]]