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What is the solution to this matrix equation?

Type The Correct Answer In Each Box Use Numerals Instead Of WordsWhat Is The Solution To This Matrix Equation class=

Sagot :

facundo3141592

By using a system of equations, we will see that the solution is:

x = 25, y = -50, z = -15

How to solve the matrix equation?

We can write this as a system of equations:

4x + 2y - z = 15

x + y - z = -10

-3x - y + z = 60

Notice that if we add the second and third equations, we get:

(x + y - z) + (-3x - y + z ) = -10 + 60

-2x = 50

x = 50/-2 = -25

So we already got the value of x. Replacing that in the second equation we et:

25 + y - z = -10

Isolating y we get:

y = -10 - 25 + z = z - 35

Now we can replace that in the first equation:

4x + 2y - z = 15

4*25 + 2*(z - 35) - z = 15

100 + z - 70 = 15

z = 15 - 100 + 70 = -15

And using:

y =  z - 35 = -15 - 35 = -50

Then the soution to the matrix equation is:

x = 25, y = -50, z = -15

If you want to learn more about matrix equations:

https://brainly.com/question/11989522

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