PreCalculus - Matrices & Matrix Applications (30 of 33) Find the Determinant of a 3x3 Matrix 1

In this video I will find the determinant of a 3x3 matrix by breaking a 3x3 matrix into 3-2x2 matrices.

Next video in the Matrices series can be seen at:

[affection]

sir I have a question,

is it like 2x2 matrices that we say if det = 0, the matrix doesn't have inverse ??

I mean if we have 3 by 3 system of linear equations and the determinant of matrix of coefficients is zero we say : " system has no solution"

[Shark-he]

It seems to be like Laplace method, isn't it professor?
Thank you