164 Section 12: Calculating with Matrices
Matrix A now represents the complex matrix Z in Z
P
form:
PartImaginary
Part Real
.
85
23
31
74
}
}














ï€

P
ZA
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:






ï€

XY
YX
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
.






ï€ï€
ï€ï€







ï€
ï€

6154
5461
~
54
61
ZZ
P
The transformations that convert the representation of a complex matrix
between Z
P
and 

are shown in the following table.
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.