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Performing a certain row operation on an identity matrix

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Reference no: EM13963051

Please prove the statements shown below:

1. If the elementary matrix E results from performing a certain row operation on an identity matrix Im and if A is an m x n matrix, then the product EA is the matrix that results when this same roe operation is performed on A.

2. Every elementary matrix is invertible, and the inverse is also an elementary matrix.

Reference no: EM13963051

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