Answer:
The answer is the matrix that looks like:
[0 5 3 | 19]
[2 0 5 | 17]
[5 2 -3 | 0]
Step-by-step explanation:
The system of equations is
5y + 3z = 19 which is 0 x's, 5 y's, and 3 z's therefore, [0 5 3]
2x + 5z = 17 which is 2 x's, 0 y's, and 5 z's therefore, [2 0 5]
5x + 2y − 3z = 0 which is 5 x's, 2 y's, and -3 z's therefore, [5 2 -3]
The three are compiled into a matrix that looks like this
0 5 3
2 0 5
5 2 -3
Add the sums of the equations
0 5 3 = 19
2 0 5 = 17
5 2 -3 = 0
Add brackets and the line to distinguish them*
[0 5 3 | 19]
[2 0 5 | 17]
[5 2 -3 | 0]
*Depending on how the answers are shown the line may or may not be included. It could just look like this.
[0 5 3 19]
[2 0 5 17]
[5 2 -3 0]
This should be the correct answer but please look for a good matric calculator if you have trouble with these kinds of questions. Here is a good one I use - https://matrixcalc.org - Good Luck!
