well, since AX = B,
X = A-1B
X = 1/6 {23,2,29}
The inverse is at
http://www.wolframalpha.com/input/?i=inverse%28{{+3%2C+2%2C+7}%2C+{+-2%2C+1%2C+4}%2C{+6%2C+-5%2C+8}}%29
and the solution is at
http://www.wolframalpha.com/input/?i=inverse%28{{+3%2C+2%2C+7}%2C+{+-2%2C+1%2C+4}%2C{+6%2C+-5%2C+8}}%29*{{46}%2C{12}%2C{60}}
| 3 2 7 | x1 | | 46 |
| -2 1 4 | x2 | = | 12 |
| 6 -5 8 | x3 | | 60 |
(b). Solve the system using the inverse of the coefficient matrix.
(x1, x2, x3) = (________)
4 answers
i need the 3 numbers for the answer, how do i find that?
Do you know how to find the inverse of a 3by3 matrix?
I got the following:
28 -51 1
40 -18 -26
4 27 7
each is divided by 192
so multiply the above inverse matrix by
46
12
60
then divide each result by 192 for your x1, x2, x3
I got the following:
28 -51 1
40 -18 -26
4 27 7
each is divided by 192
so multiply the above inverse matrix by
46
12
60
then divide each result by 192 for your x1, x2, x3
aside from the fact that I gave you the three numbers as the vector X, take a look at the 2nd url I gave you.