HP HP-15C - Program Loop Control

Section 4: Using Matrix Operations 105
For example, let matrix A be
3X1(T40 1 2
1 11
2 1-1
The HP-15C correctly calculates A'1 to 10-digit accuracy as
-2 3 -1
3-42
-1 2 -1
Now let
so that
E =
1020 0 0
o io-20 o
o o icr20
31 2
1 1(T40 1(T40
2 10"40 -10~40
E is very near a singular matrix
S =
3 1 2
100
200
and ||E - S|| / ||E|| = V3 X lO'40. This means that K(S) ^ 3 X 1040, so
it's not surprising that the calculated E""1
E
-6.67 X10"11 1 10"10
0.8569 8.569 X 109 -4.284 X 109
0.07155 -4.284 X 109 2.142 X 109