Algebra II (Matrices)
posted by Jon on .
My book doesn't solve it like a linear equation, they solve it by using inverse matrices.
Solve the matrix equation:
4 5m=32
1 2 n=5
A= 4 5
1 2
X= m
n
B= 32
5
Step 1. Find the inverse of the coefficient matrix.
A^1= 1/132 5
1 4
(I get confused in step 2)
Step 2. Multiply each side of the matrix by the inverse matrix

I am going to leave out the 1/13 on both sides of the matrix equation, so they line up nicely
│ 2 5││ 45││m│
│1 4││ 1 2││n│ =
│ 2 5││32│
│1 4││5│
│13 0││m│
│0 13││n│ =
│ 39│
│52│
so 13m=39 > m=3
and 13n=52 > n=4