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

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1 48
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
equations. In addition, you can include additional data and update
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
.
Updates factorization.
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.

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