Fundamentals Of Electric Circuits + 1 Semester Connect Access Card
Fundamentals Of Electric Circuits + 1 Semester Connect Access Card
6th Edition
ISBN: 9781259917813
Author: Charles K. Alexander
Publisher: McGraw-Hill College
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Question
Chapter A.2, Problem 3PP
To determine

Find the solution to the given simultaneous equations by matrix inversion method.

Expert Solution & Answer
Check Mark

Answer to Problem 3PP

The solutions to the given simultaneous equations by matrix inversion method are y1=3andy2=2_.

Explanation of Solution

Given data:

2y1y2=4 (1)

y1+3y2=9 (2)

Formula used:

Consider the general expression to determine the matrix inversion.

X=A1B (3)

Here,

A1=1|A|[dbca]

Calculation:

Evaluate given set of Equation (1) and Equation (2) in matrix form as follows.

[2113][y1y2]=[49]

Here,

A=[2113]X=[y1y2]B=[49]

Find determinants of matrix A.

|A|=|2113|=[(2)(3)][(1)(1)]=6+1=7

Find inverse of A.

A1=17[3112]

Substitute 17[3112] for A1 and [49] for B in equation (3) as follows.

X=17[3112][49]=17[2114]=[217147]=[32]

Conclusion:

Thus, the solutions to the given simultaneous equations by matrix inversion method are y1=3andy2=2_.

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