.
Systems of Equations: Use of Matrix Inverses
Problem 1.1 (complexity 2). Solution
Find the solution of the system of two linear equations in two 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
-1
B
.
If
A
is a square matrix of order 2
, then its inverse matrix is
Answer:
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