This matrix that I chose for an example is a good matrix. A non singular matrix. An invertible matrix.

So let's think about what a singular matrix will look

So one way to view the singular matrix is that you have parallel lines.

And a square matrix for which there is no inverse, of which an inverse is undefined is called a singular matrix.

So this matrix is singular, or it has no inverse, if this expression is equal to 0.

So the other way to view that is, if a determinant of any matrix is equal to 0, then that matrix is a singular matrix, and it has no inverse, or the inverse is undefined.

And we said if this holds, then we have no determinant, and this becomes a singular matrix, and it has no inverse.

The matrix is singular, if the two lines that are being represented are either parallel, or they are the exact same line.

But that hopefully gives you a little bit of an intuition of well, one, you now know what a singular matrix is.

picked out a nine by nine matrix, I guarantee it would be good. It would be non singular, it would be invertible,

Chuckles Singular.

but most right hand sides would be out of the plane and unreachable. So that would be a singular case. The matrix would be not invertible.

Oh, she wasn't considered, er, singular.

We've learned about matrix addition, matrix subtraction, matrix multiplication.

This was an unprecedented, singular design problem.

Something singular must be done with him.

I've proved it. You're a singular girl.

The identity matrix times any other matrix is just that matrix.

The points which are not ordinary are singular.

This singular exercise will give us workman's hands.

How It Feels to Be Starving , firstperson, singular.

But this is a very singular... very difficult...

So an identity matrix is a matrix.

Let's just do some matrix matrix products.

And by the matrix, I mean literally the matrix, like the movie The Matrix.

But I hold a highly singular view of love.

matrix

Matrix

Matrix

We just multiplied this matrix times this matrix.

This is our definition of matrix matrix products.

Or when I multiply that matrix times the identity matrix, I get the matrix again.

So its entire matrix representation is going to be guy's matrix times this guy's matrix.

You can actually multiply one matrix by another matrix.

Well it so happens that we have a singular body.

ROMEO O single soled jest, solely singular for the singleness!

So the matrix representation of the entire composition is going to be this matrix times this matrix.

Matrix size

Amended Matrix

The Matrix

Matrix encoding

Matrix Widget

First matrix

Second matrix

Matrix A.