Solving the complex equation ax = b – HP 15c User Manual
Page 168
168 Section 12: Calculating with Matrices
Writing down the elements of C,
P
1
10
11
10
11
11
10
10
0500
.
1
10
0000
.
1
10
8000
.
3
10
0000
.
1
0000
.
1
10
0000
.
4
10
8500
.
2
0000
.
1
ZZ
C
,
where the upper half of matrix C is the real part of ZZ
-1
and the lower half
is the imaginary part. Therefore, by inspection of matrix C,
10
11
11
11
11
10
1
10
0500
.
1
10
0000
.
1
10
8000
.
3
10
0000
.
1
0000
.
1
10
0000
.
4
10
8500
.
2
0000
.
1
i
ZZ
As expected,
0
0
0
0
1
0
0
1
1
i
-
ZZ
Solving the Complex Equation AX = B
You can solve the complex matrix equation AX = B by finding X = A
-1
B.
Do this by calculating X
P
= (Ã)
-1
B
P
.
To solve the equation AX = B, where A, X, and B are complex matrices:
1. Store the elements of A and B in memory, in the form either of Z
P
or
of Z
C
.
2. Recall the descriptor of the matrix representing B into the display.
3. If the elements of B were entered in the form B
C
, press ´p to
transform B
C
into B
P
.