Calculating the Determinant
Determinants of Special Matrices
Determinants of Manipulated Matrices
Invertibility
Cramer's Rule How to Examples Exercise
How to:
In Chapter 2, we first learned about inverse matrices, but never actually stated the condition to easily decide whether a square matrix is invertible or not. It turns out this condition relies on its determinant.
A square matrix, A, is invertible if and only if its determinant does not equal zero. (det(A) ~= 0)
Examples:
Exercise: