Question

Consider the following Gauss-Jordan reduction: \[ \underbrace{\left[\begin{array}{ccc} 3 & 0 & 1 \\ 9 & -9 & 0 \\ 1 & 0 & 0 \end{array}\right]}_{A} \rightarrow \underbrace{\left[\begin{array}{ccc} 3 &

A) 0, 1, 0
B) 1, -1, 0
C) 0, 0, 1
D) -3, -9, 0

Answer 1

The given matrix represents a system of linear equations. By performing Gauss-Jordan reduction, we can find the solution to the system of equations.

Step-by-step explanation:

The given matrix represents a system of linear equations:

3x + 1z = 0

9x - 9y = 0

x = 0

By performing Gauss-Jordan reduction, we can transform the given matrix into reduced row echelon form:

[3 0 1; 9 -9 0; 1 0 0] → [1 0 0; 0 1 0; 0 0 1]

The solution to the system of equations is x = 0, y = 0, and z = 0.