Prove that any two matrix expression is equal or not calculator

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Home > Matrix Algebra calculators > Prove that any two matrix expression is equal or not calculator

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Matrix Algebra

Matrix Operation

Prove that any two matrix expression is equal or not calculator

Matrix A :

`[[1,0,0],[0,1,0],[0,0,1]]`
`[[2,3,1],[0,5,6],[1,1,2]]`
`[[2,1,-1],[1,0,-1],[1,1,2]]`
`[[3,1,1],[-1,2,1],[1,1,1]]`
`[[5,6,1],[0,2,3],[1,1,2]]`
`[[5,-1,1],[-2,3,4],[1,1,7]]`
`[[2,3,-1],[3,2,1],[1,-5,3]]`
`[[1,1,1],[2,-1,-1],[1,-1,1]]`
`[[1,1,1],[1,2,3],[1,4,9]]`

Matrix B :

`[[1,0,0],[0,1,0],[0,0,1]]`
`[[2,3,1],[0,5,6],[1,1,2]]`
`[[2,1,-1],[1,0,-1],[1,1,2]]`
`[[3,1,1],[-1,2,1],[1,1,1]]`
`[[5,6,1],[0,2,3],[1,1,2]]`
`[[5,-1,1],[-2,3,4],[1,1,7]]`
`[[2,3,-1],[3,2,1],[1,-5,3]]`
`[[1,1,1],[2,-1,-1],[1,-1,1]]`
`[[1,1,1],[1,2,3],[1,4,9]]`

Find :

`(A * B)' = B' * A'`
`(A * B)^-1 = B^-1 * A^-1`
`Adj(A * B) = Adj(B) * Adj(A)`
`A * Adj(A) = |A| * I`
`Adj(A') = Adj(A)'`
`(A')^-1 = (A^-1)'`

Mode :

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