Asked by Tayler
use a matrix to solve each system
2x + 7y +2z = -16
-5x - 8y = 17
x - 2y - 8z = -13
2x + 7y +2z = -16
-5x - 8y = 17
x - 2y - 8z = -13
Answers
Answered by
oobleck
Look here:
https://www.wolframalpha.com/input/?i=%7B%7B2%2C7%2C2%7D%2C%7B-5%2C-9%2C0%7D%2C%7B1%2C-2%2C-8%7D%7D*%7B%7Bx%7D%2C%7By%7D%2C%7Bz%7D%7D+%3D+%7B%7B-16%7D%2C%7B17%7D%2C%7B-13%7D%7D
To do it by hand, you'll need the inverse matrix here:
https://www.wolframalpha.com/input/?i=inverse+%7B%7B2%2C7%2C2%7D%2C%7B-5%2C-9%2C0%7D%2C%7B1%2C-2%2C-8%7D%7D
https://www.wolframalpha.com/input/?i=%7B%7B2%2C7%2C2%7D%2C%7B-5%2C-9%2C0%7D%2C%7B1%2C-2%2C-8%7D%7D*%7B%7Bx%7D%2C%7By%7D%2C%7Bz%7D%7D+%3D+%7B%7B-16%7D%2C%7B17%7D%2C%7B-13%7D%7D
To do it by hand, you'll need the inverse matrix here:
https://www.wolframalpha.com/input/?i=inverse+%7B%7B2%2C7%2C2%7D%2C%7B-5%2C-9%2C0%7D%2C%7B1%2C-2%2C-8%7D%7D
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