Question

Given the system of equations, what is the value of the system to determinant.

x + y = 8

x + y = 10
-----------------
-2
-1
0

​

Answer 1

0

Explanation:

given the system of equations, what is the value of the system to determinant.

x + y = 8

x + y = 10

This can be written in the form AX = b

A is a 2 by 2 matrices

b is a column matrix

Taking the determinant of A

`A =\left[\begin{array}{ccc}1&1\\1&1\\\end{array}\right]`

We are to finds the determinant

|A| = 1(1) - 1(1)

|A| = 1 -1

|A| = 0

hence the required determinant is 0