Question

Given the following augmented matrix in row-reduced form, assume that it is equivalent to an augmented matrix corresponding to a system of linear equations. What is the augmented matrix corresponding to the system of linear equations?

Answer 1

The augmented matrix corresponding to a system of linear equations can be found by examining the row-reduced form of the matrix.

Step-by-step explanation:

The augmented matrix corresponding to a system of linear equations can be found by examining the row-reduced form of the matrix. Let's say the row-reduced form of the matrix is:

[1 0 2 | 3]

[0 1 -2 | 4]

This corresponds to the system of linear equations:

x + 2z = 3

y - 2z = 4

So, the augmented matrix corresponding to the system of linear equations is:

[1 0 2 | 3]

[0 1 -2 | 4]