To solve: System of equation using matrix inverse.
Answer to Problem 56AYU
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 rewnitten as,
By the defmition of inverse matrix
By the property of Identity matrix,
Hence,
i.e.
Determining
Step 1: Construction of
Step 2: Transform the matrix [A|I
Step 3: Separate the matrix on the right of the vertical bar which is the inverse of
Solving x, y and
The solution for the given system of equations is
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