Techniques%20of

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Techniques of ROW REDUCTION
can simplify the process of
evaluating the
determinant
of a matrix
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Replace row 2 with row 2 k(row 1)
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Replace row 2 with row 2 k(row 1)
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Replace row 2 with row 2 k(row 1)
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Replace row 2 with row 2 k(row 1)
When you replace a row of a matrix with itself
plus a multiple of another row, the
determinant does not change.
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Replace row 2 with row 2 row 1
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Interchange row 1 and row 2
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Interchange row 1 and row 2
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Replace row 2 with row 2 k(row 1)
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Replace row 2 with row 2 k(row 1)
When you interchange 2 rows of a matrix, the
determinant changes by a factor of 1. This
would not simplify the process of evaluating a
determinant.
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Replace row 1 with k(row 1)
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Replace row 1 with k(row 1)
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Replace row 1 with k(row 1)
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Replace row 1 with k(row 1)
When you replace a row of a matrix with k
times itself, the determinant changes by a
factor of k. This would not simplify the
process of evaluating a determinant.
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example
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