Further Examples: RowReduce

A non-singular matrix can be row-reduced to the identity matrix.

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For non-zero singular matrices, the last row reduces to zero and the last column cannot be zeroed (if not zero from the start).

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This performs row reduction modulo on mm.

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You can use RowReduce to solve a system of linear equations. The matrix nn corresponds to the linear system {x + y - z == 1, x + 2y + 5z == 1, 2x + y + 3z == -2}.

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The solution of the system is x = , y = , and z = .

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This checks the answer.

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