To solve: system of equation using matrix inverse.
Answer to Problem 42AYU
Solution:
Explanation of Solution
Given:
Calculation:
The original system of equations can be written compactly as a matrix equation.
Where,
To solve the for
Multiply both sides by
By association property of matrix multiplication, the above equation can be re written as,
By the definition of inverse
By the property of Identity matrix
Hence,
i.e.
Finding
Step-1: Construction
Step-2: Transform the matrix
Step-3: Separate the matrix on the right of the vertical bar which is the inverse of
Solving
The solution for the given system of equations is
Chapter 11 Solutions
Precalculus Enhanced with Graphing Utilities
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Calculus & Its Applications (14th Edition)
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