Inverse Of A 3x3 Matrix Shortcut

Elements of the matrix are the numbers which make up the matrix.

Inverse of a 3x3 matrix shortcut.

I thought that that isn t much of a trick or shortcut. Quicker way to inverse 3 3 matrix august 31 2014 tomcircle modern math leave a comment this is a quick method to inverse a matrix using the analogy of determinant. Determinant of a 3x3 matrix. Next transpose the matrix by rewriting the first row as the first column the middle row as the middle column and the third row as the third column.

This super trick will help you find inverse of any 3x3 matrix in just 30 seconds. As another hint i will take the same matrix matrix a and take its determinant again but i will do it using a different technique either technique is valid so here we saying what is the determinant of the 3x3 matrix a and we can is we can rewrite first two column so first column right over here we could rewrite it as 4 4 2 and then the second column right over here we could rewrite it 1 5. This method is very fast and saves a lot of time. It is represented by m 1.

For every m m square matrix there exist an inverse of it. If the determinant is 0 the matrix has no inverse. Determinant of a 3x3 matrix. To find the inverse of a 3x3 matrix first calculate the determinant of the matrix.

Sal shows how to find the inverse of a 3x3 matrix using its determinant. We should practice. In this video you will find a cool trick shortcut method to find inverse matrices of 3x3 matrix. In part 1 we learn how to find the matrix of minors of a 3x3 matrix and its cofactor matrix.

It seems about the same complexity as just plodding through row column operations to convert the 3x3 into an identity matrix and applying those operations to an identity matrix at the same time. Finding inverse of a matrix short cut method.