Question

Use the matrix tool to find a solution to the systems of equations. Solve for x.
3x-y-2z=-3
x+2y+z=-7
2x-y+5z=12

Answer 1

Matrix tool? From what? A graphing calculator? Or something like mathway?

Answer 2

its an arrangment of columns and rows such as

0 0 0|0
0 0 0|0
0 0 0|0

Answer 3

I'm well aware of what a matrix is. You're talking about some matrix tool. Any idea what that might be referring to?

Answer 4

Its just a matrix tool with the capability of dividing subtracting etc. rows

Answer 5

3 -1 -2 | -3
1 2 1 | -7
2 -1 5 | 12

R1 = R1-R3

1 0 -7 | -15
1 2 1 | -7
2 -1 5 | 12

R2 = R2+2(R3)

1 0 -7 | -15
5 0 11 | 17
2 -1 5 | 12

R1 = R1+11/7(R2)

62/7 0 0 | 11*17/7 -15
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----

so (62/7)x = (11*17)/7-15

x = 41/31 i guess

Answer 6

Last operation should be R1 = R1+7/11(R2)
46/11 0 0 | -15 + 7/11*17
---
--
so 46/11x = -15 + (7/11)*17

x = -1
That is the correct solution

Answer 7

I think what they call a matrix tool is not a device or a program but the solution method i used above. They are not hard to solve but takes some time

Answer 8

thanks i really didnt know ho to solve a three row matrix

Answer 9

They are not hard to solve. If you want to find x just leave its coefficient alone(make othes 0) by adding and subtracting other rows from any row you chose. After finding something like:

a 0 0 | b

You can write it as ax + 0y + 0z = b
It is equal to ax = b
and x = b/a

Answer 10

In my solution you can see that second element of the first row became 0. Then i tried to make 3rd element 0. But if i add or subtract 2nd or 3rd row the second element would be different than 0. So i prepared the second row first by making the second elemnt of it 0. Then i maked the 3rd element of first row 0

Answer 11

made (not maked ) :D hahaha

Answer 12

thanks! it was really helpful.