Determinant ↩

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created: 2021-12-13 20:14:31
modified: 2022-01-19 16:39:14

matrices

The determinant for a matrix is the following:

Generally

We can generally calculate determinants by summing up the product of elements in the main diagonals then subtracting the product of the elements in the perpendicular diagonals.

Properties

• Multiplicativity:
• Invariant under transpose:
• Invariance under row operations (summing rows)
• There is a sign change under row swap
• Inverse:
• If is a scalar and is an matrix, then