Page 521 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

508 Determinants and Matrices Appen. C

Row 3 X colum ns 1, 2, 3, and 4:
-^33
^33
- 1
V34 — ( » 34^^44)
=
^33
Row 2 X colum ns 1, 2, 3, and 4:
1
^22 ~
^22
-1 /
^23 = “E (^ 2 3 ^ 3 3 )
^22
-1 ,
^24 ~ w (^ 2 3 ^ ’34 ■
^22
Row 1 X colum ns 1, 2, 3, and 4:
1
¿^11 =

^12 “ jj ( ^ 12^ 22)
-1 /
^13 ~ (^12^23 ^ 13^ 33)
11
-1 /

t ’l4 — «11 12^24 “*■ ^13^34 ^ 14^44)
These results are then sum m arized by the following general equations:
Vjj = 0 i > j
1
V;, =

Vii = 1 ^ 1 E «//«o 1
\ I ^i-¥\