Try the Free Math Solver or Scroll down to Tutorials!












Please use this form if you would like
to have this math solver on your website,
free of charge.

Matrices and Determinants

A matrix looks like:

You read this as a “three by three matrix” (3 X 3 Matrix). This means that there are 3
rows (horizontals) and 3 columns (vertical). Each number in a matrix is called an
“element” and is referred to by the row number and then the column number. For
example, -2 is in row 1, column 2 or in the a12  position.

Here the capital letter “A” names the entire matrix (Matrix A).

The lowercase letter “a” represents the position of each element using the subscripts in
the format of row, then column.

Create the following 2 x 2 matrix below: Place 3 in  a11 , 4 in  a12 , 6 in  a21 , and 7 in  a22 .

When you are adding and subtracting matrices, the order of each matrix must be same. This
means that each matrix must have the same number of rows and columns.

Below, two matrices are being added. Notice each matrix is of the order 2 X 3. Addition or
subtraction of matrices that do not have the same order is impossible.

To add matrices, simply add the values of each corresponding element:   and so forth.