# 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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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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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 ...

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