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Techniques of ROW REDUCTION can simplify the process of

Techniques of ROW REDUCTION can simplify the process of evaluating the determinant of a matrix. Replace row 2 with row 2 + k(row 1).

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Techniques of ROW REDUCTION can simplify the process of

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  1. Techniques of ROW REDUCTION can simplify the process of evaluating the determinant of a matrix

  2. Replace row 2 with row 2 + k(row 1)

  3. Replace row 2 with row 2 + k(row 1)

  4. Replace row 2 with row 2 + k(row 1)

  5. 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.

  6. Replace row 2 with row 2 – row 1

  7. Interchange row 1 and row 2

  8. Interchange row 1 and row 2

  9. Replace row 2 with row 2 + k(row 1)

  10. 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.

  11. Replace row 1 with k(row 1)

  12. Replace row 1 with k(row 1)

  13. Replace row 1 with k(row 1)

  14. 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.

  15. example:

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