HP 39gs Graphing manual Matrices 15-7

To multiply and divide by a scalar

To multiply two matrices

To raise a matrix to a power

3.Add the matrices that you created.

M1

M2

For division by a scalar, enter the matrix first, then the operator, then the scalar. For multiplication, the order of the operands does not matter.

The matrix and the scalar can be real or complex. For example, to divide the result of the previous example by 2, press the following keys:

2

To multiply the two matrices M1 and M2 that you created for the previous example, press the following keys:

M1 M 2

To multiply a matrix by a vector, enter the matrix first, then the vector. The

number of elements in the vector must equal the number of columns in the matrix.

You can raise a matrix to any power as long as the power is an integer. The following example shows the result of raising matrix M1, created earlier, to the power of 5.

M1 5

Note: You can also raise a matrix to a power without first storing it as a variable.

Matrices can be raised to negative powers. In this case, the result is equivalent to 1/[matrix]^ABS(power). In the following example, M1 is raised to the power of –2.

Matrices 15-7