Question

What is the next step in solving this augmented matrix using the Gauss-Jordan elimination method?

[ 1 0 0 : 5 ]
[ 0 2 0 : 8]
[ 0 0 2 : 9]
A. Convert the matrix to the linear system form.
B. Divide R2 by 2 and R3 by 3.
C. The matrix is solved.
D. This is an inconsistent matrix that cannot be solved.
E. Divide R1 by 2 and R3 by 3.

Answer 1

The next step in solving this augmented matrix using the Gauss-Jordan elimination method is to divide R2 by 2 and R3 by 3.

Step-by-step explanation:

The next step in solving this augmented matrix using the Gauss-Jordan elimination method is:

B. Divide R2 by 2 and R3 by 3.

By dividing row 2 by 2 and row 3 by 3, we aim to create zeros in the column entries below the pivot entries (1 and 2) in row 1.

After performing this step, we can move on to further eliminate terms and simplify the algebra until the matrix is in row-echelon form.