HP 15c - Manual (Page 164)

164 Section 12: Calculating with Matrices
Matrix A now represents the complex matrix Z in Z
P
form:
P art Imaginary
P art Real
.
8 5
2 3
3 1
7 4
}
}















  P
Z A
The Complex Transformations Between Z P and Z
An additional transformation must be done when you want to calculate the
product of two complex matrices, and still another when you want to
calculate the inverse of a complex matrix. These transformations convert
between the Z
P
representation of an m×n complex matrix and a 2m×2n
partitioned matrix of the following form:





 

X Y
Y X
Z .
The matrix created by the > 2 transformation has twice as many
elements as Z
P
.
For example, the matrices below show how is related to Z
P
.






 
 
 









6 1 5 4
5 4 6 1 ~
5 4
6 1
Z Z
P
The transformations that convert the representation of a complex matrix
between Z
P
and are shown in the following table.
Pressing Transforms Into
´ > 2
Z
P
´ > 3
Z
P
To do either of these transformations, recall the descriptor of Z
P
or into
the display, then press the keys shown above. The transformation is done to
the specified matrix; the result matrix is not affected.