write a matrix to represent the system

2a-3b=6
a+b=2

1 answer

The matrix representation of the given system is:

| 2 -3 | | a | | 6 |
| 1 1 | x | b | = | 2 |

Note that the coefficients of 'a' and 'b' from each equation are arranged in the matrix, and the constants on the right side of the equations are arranged in the column matrix.

In this case, the first equation 2a - 3b = 6 corresponds to the first row of the matrix [2 -3] * [a b] = [6], and the second equation a + b = 2 corresponds to the second row [1 1] * [a b] = [2].