HP 50G, User Manual

Page: 366 / 887

Page 11-39
Then, for this particular example, in RPN mode, use:
[2,-1,41] ` [[1,2,3],[2,0,3],[8,16,-1]] `/
The calculator shows an augmented matrix consisting of the coefficients matrix
A and the identity matrix I , while, at the same time, showing the next procedure
to calculate:
L2 = L2-2
⋅
L1 stands for “replace row 2 (L2) with the operation L2 – 2
⋅
L1. If we
had done this operation by hand, it would have corresponded to:
2\#1#1 @RCIJ
. Press
@@@OK@@@
, and follow the operations in your
calculator’s screen. You will see the following operations performed:
L3=L3-8
⋅
L1, L1 = 2
⋅
L1--1
⋅
L2, L1=25
⋅
L1--3
⋅
L3, L2 = 25
⋅
L2-3
⋅
L3,
and finally a message indicating “Reduction result” showing:
When you press
@@@OK@@@
, the calculator returns the final result [1 2 –1].
Calculating the inverse matrix step-by-step
The calculation of an inverse matrix can be considered as calculating the
solution to the augmented system [
A | I ]. For example, for the matrix A used
in the previous example, we would write this augmented matrix as