Determinants and Row Operations

Last updated Mar 6, 2022 Edit Source

• Math linear

When you do Elementary Row Operations on a matrix, the Determinant of that matrix changes depending on the row operation:

• Interchange two rows : $det(A_{new}) = -det(A)$
• Multiply row by constant $c$: $det(A_{new}) = cdet(A)$
• Add a multiple of a row to another row : $det(A_{new}) = det(A)$