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Systems of Equations: Use of Matrix Inverses Problem 1.2 (complexity 2). Solution

Find the solution of the system of three linear equations in three unknowns using matrix inverses:

Solution
We can write the system as the matrix equation A X=B, where
, , .
If A-1 exists, we can solve the matrix equation by multiplying both sides of the equation by A-1. It gives
X=A-1B.

If A is a square matrix of order 3 , then its inverse matrix is

Answer:

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