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Matrices 471
To multiply two
matrices
To multiply the two matrices that you created for the
previous example, press the following keys:
AQ1sA
Q
2E
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.
To raise a matrix to
a power
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.
AQ1k5
E
You can also raise a
matrix to a power without
first storing it as a
variable.
Matrices can also 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.
A
Q
1
kQ
2
E
To divide by a
square matrix
For division of a matrix or a vector by a square matrix, the
number of rows of the dividend (or the number of
elements, if it is a vector) must equal the number of rows
in the divisor.