Find the augmented matrix for each of the following systems of linear equations:

Question

(a)
3x1 − 2x2 = −1
4x1 + 5x2 = 3
7x1 + 3x2 = 2
(b)
2x1 + 2x3 =1
3x1 − x2 + 4 x3 = 7
6x1 + x2 − x3 = 0
(c)
x1 + 2x2 − x4 + x5 =1
3x2 + x3 − x5 = 2
x3 + 7x4 =1
(d)
x1 =1
x2 = 2
x3 = 3

Answer 1

What's the problem? You have all the coefficients and constants. Just write them down as an array. Just copy what you have, throwing all the variable names away, aligning the numbers in columns.

For example, #c is

1 2 0 -1 1 | 1
0 3 1 0 -1 | 2
0 0 1 7 0 | 1