HP 15c Scientific Multiplying Complex Matrices

166 Section 12: Calculating with Matrices

Keystrokes	Display
´< A		4	4	Designates B as the result
B				matrix.
∕	b	4	4	Calculates ( )-1= ( -1) and
				places the result in matrix B.
´>3	b	4	2	Transforms ( -1) into
				( -1)P.

The representation of Z-1in partitioned form is contained in matrix B.

	⎡ −0.0254		0.2420⎤
	⎢		⎥
B =	⎢− 0.0122		− 0.1017⎥} Real P art
	⎢	− 0.2829	⎥
			− 0.0022
	⎢		⎥
	⎣⎢ 0.1691		− 0.1315⎦⎥} Imaginary P art

Multiplying Complex Matrices

The product of two complex matrices can be calculated by using the fact

that (YX)P = P.

To calculate YX, where Y and X are complex matrices:

1.Store the elements of Y and X in memory, in the form either of ZP or ZC.

2.Recall the descriptor of the matrix representing Y into the display.

3.If the elements of Y were entered in the form of YC, press ´pto transform YC into YP.

4. Press ´>2 to transform YP into .

5.Recall the descriptor of the matrix representing X into the display.

6.If the elements of X were entered in the form XC, press ´pto transform XC into XP.

7.Designate the result matrix; it must not be the same matrix as either of the other two.