How do you solve the system #3a+2b=27, 6a-7b+c=5, -2a+10b+5c=-29# using matrices?
3a + 2b = 27
6a - 7b + c = 5
-2a + 10b +5c = -29
First, convert the left side of the equations into a matrix called 'A'. Inside the matrix, put in the coeffecients of each of the variables in the equations above.
Now, do the same for right side of the equation and convert the numbers into a matrix called 'b'.
Use the formula
The solution is
We perform the Gauss Jordan elimination with the augmented matrix