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Arithmetic operations, Matrix multiplication – HP 15c User Manual

Page 154

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154 Section 12: Calculating with Matrices

Keystrokes


Display

-

C

2

3

Calculates B - A and stores
values in redimensioned result
matrix C.

The result is

8

4

3

2

1

0

C

Matrix Multiplication

With matrix description in both the X- and Y-registers, you can calculate
three different matrix products. The table below shows the results of the
three functions for a matrix X specified in the X-register and a matrix Y
specified in the Y-register. The matrix X

-1

is the inverse of X, and the

matrix Y

T

is the transpose of Y.

Pressing

Calculates*

*

YX

´ > 5

Y

T

X

÷

X

-1

Y

* Result is stored in result matrix. For

÷

, the

result matrix can be Y but not X. For the others,
the result matrix must be other than X or Y.

Note: When you use the ÷

function to evaluate the expression

A

-1

B, you must enter the matrix descriptors in the order B, A rather

than in the order that they appear in the expression.

*

The value stored in each element of the result matrix is determined
according to the usual rules of matrix multiplication.

For > 5, the matrix specified in the Y-register isn't changed by this
operation, even though its transpose is used. The result is identical to that
obtained using > 4 (transpose) and *.

*

This is the same order you would use if you were entering b and a for evaluating a

-1

b = b/a