Matrix difference equation

Okay kiddo, do you remember what a matrix is? It's like a grid of numbers, kind of like a big table. Each number in the grid has a specific place or location, which we call a row and a column.

Now, imagine we have two matrices - let's call them Matrix A and Matrix B. A matrix difference equation is when we subtract Matrix B from Matrix A, one number at a time, and put the results in a new matrix.

It's like counting apples, but instead of using fingers, we use matrices. Imagine you have Matrix A with 3 rows and 3 columns and Matrix B with the same number of rows and columns. We would subtract the first number in the first row of Matrix B from the first number in the first row of Matrix A. Then, we would subtract the second number in the first row of Matrix B from the second number in the first row of Matrix A, and so on.

We would continue this pattern for each row and column until we have a new matrix with all the differences. This new matrix is called the difference matrix, and it shows us what changed between Matrix A and Matrix B.

So, in simple terms, a matrix difference equation is just subtracting two matrices and creating a new matrix that shows us the differences between the two original matrices. That's all there is to it, kiddo!