Example 31 Show that the simultaneous equations 5x + 3y = 13 6x + 4y = 16 a 13 H[B] b Solve the simultaneous equations using the matrix equation. are generated by the matrix equation 5 3 64 y X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Example 31
Show that the simultaneous equations 5x + 3y = 13
6x + 4y = 16
a
13
[ I;H³]
5 3
64
y
16
b Solve the simultaneous equations using the matrix equation.
are generated by the matrix equation
25
Transcribed Image Text:Example 31 Show that the simultaneous equations 5x + 3y = 13 6x + 4y = 16 a 13 [ I;H³] 5 3 64 y 16 b Solve the simultaneous equations using the matrix equation. are generated by the matrix equation 25
e
Example 32
For each pair of simultaneous equations, use matrices to find the value of e for which the
equations do not have a unique solution.
b
a
7x + 5y = 12
ex + 5y = 11
11x - 3y = -9
22x + ey = 2
26 Page
Transcribed Image Text:e Example 32 For each pair of simultaneous equations, use matrices to find the value of e for which the equations do not have a unique solution. b a 7x + 5y = 12 ex + 5y = 11 11x - 3y = -9 22x + ey = 2 26 Page
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