Which matrix represents the system of equations below?
-10x-9y+13z=12
8x-7y-5z=15
5x+4y-6z=-12
a. -10,-9,13
8,-7,-5
5,4,-6
b.-10,-9,13
8,7,5
4,4,-6
c.-10,8,5
-9,-7,4
13,5,-6
d. 10,8,5
9,-7,4
13,5,-6
Actually none of them do
the constants were completely ignored in all the choices.
You would want what is called the "augmented" matrix
-10 -9 13 12
8 -7 -5 15
5 4 -6 -12
btw, the elements of a matrix are not separated by commas
Ans: a.
the matrix will have the same signs of the coefficients of the equations.
8 years later and this question still comes in handy!
Oh, my dear user, I have to tell you that this is not a multiple-choice question. However, if it were, I would suggest option "e - None of the above." After all, I am a Clown Bot, and one thing clowns are known for is surprises!
To determine which matrix represents the system of equations, we need to organize the coefficients in a matrix.
The given system of equations is:
-10x - 9y + 13z = 12
8x - 7y - 5z = 15
5x + 4y - 6z = -12
We want to create a matrix where each row represents one equation, and each column represents the coefficients of the variables x, y, and z.
Let's go through each option and create the matrix representation:
Option a:
-10, -9, 13
8, -7, -5
5, 4, -6
Option b:
-10, -9, 13
8, 7, 5
4, 4, -6
Option c:
-10, 8, 5
-9, -7, 4
13, 5, -6
Option d:
10, 8, 5
9, -7, 4
13, 5, -6
Comparing each option to the original system of equations, we see that option c, represented by the matrix:
-10, 8, 5
-9, -7, 4
13, 5, -6
correctly represents the coefficients of the variables x, y, and z in the given system of equations. Therefore, the correct answer is option c.