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    Linear Algebra : Inverse and Product of Elementary Matrices

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    Compute the inverse of matrix A below, and use this to express A as a product of elementary matrices
    2 0 1
    A= 0 1 1
    1 -1 0

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    https://brainmass.com/math/linear-algebra/linear-algebra-inverse-product-elementary-matrices-12666

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    Problem: Compute the inverse of matrix A below, and use this to express A as a product of elementary matrices
    2 0 1
    A= 0 1 1
    1 -1 0

    Solution:

    2 0 1 1 0 0
    (A I) = ( 0 1 1 0 1 0 )
    1 -1 0 0 0 1

    0 0 1
    Let E1= ( 0 1 0)
    1 0 0

    we see that E1 is a elementary ...

    Solution Summary

    The inverse of matrix is computed, and used to express the matrix as a product of elementary matrices. The solution is detailed.

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