Determinant

Note

For the determinant of A is

det(A) = det([a]) = a

and for the determinant of A is

A is invertible if and only if det(A) 0

Properties of Determinant §

[!Theorem 6.3.2]

If and then

[!Theorem 6.3.4]

If , then

[!Theorem 6.3.7]

Let be invertible. Then

[!Theorem 6.3.10]

Let Then