The System of Equations

Question

Recall that the 2x2 coding matrix I used was

Find the inverse of the coding matrix to find the decoding matrix.

Answer 1

Commenwealth [sic],

my reading of a determinant is that it equals 1*5 - 2*3, which is equal to -1, and this is NOT 0.

the inverse matrix is

3. -5

-1*

-1. 2

Answer 2

The matrix in your question has a determinant of zero, thus it does not have an inverse.