# Eigenvalues Of A Symmetric Real Matrix - HP -15C Advanced Functions Handbook

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Section 4: Using Matrix Operations
Keystrokes
Display
m
mr
QDCE]
3.6759
3.675891055
13.51217505
1.245864306
0.379758235
0.413552221
Calculates current
estimates and q.
Calculates residual sum of
squares q
2
.
Displays b{
n)
.
Displays b
(
^\s b\$
1}
.
These estimates agree (to within 3 in the ninth significant digit)
with the results of the preceding example, which uses the normal
the parameter estimates. For example, add this data from 1968:
CPI = 4.2, PPI = 2.5, and UR = 3.6 .
Keystrokes
Display
1.000000000
2.000000000
3.000000000
4.000000000
1.000000000
5.000000000
3.700256908
13.69190119
1.581596327
0.373826487
0.370971848
0.3710
0.3710
Enters row weight for new
row.
Enters jc
12
i-
Enters jc
12
2-
Enters x^
3
.
Enters y
12
.
Calculates residual sum of
squares.
Displays b{
l2
\s 6^
12)
.
Displays ^
12)
.
Deactivates User mode.
Eigenvalues of a Symmetric Real Matrix
The eigenvalues of a square matrix A are the roots X
;
of its
characteristic equation
det(A - XI) = 0.