SOLUTION: solve this matrix equation.
x+y=1
4x-3y=11
Algebra.Com
Question 249045: solve this matrix equation.
x+y=1
4x-3y=11
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Step 1) Convert the system
into the augmented matrix
Take note that the coefficients form the first 2x2 block and the right hand values form the last column. Visually, the correspondence is
---->
This conversion of notation allows us to ignore the variables (for now) since everything is based off of the numerical coefficients and right hand values.
Step 2) Row Reduction
Our next step is to row reduce the matrix into row reduced echelon form (rref form). (Note: Solution provided by the Linear Algebra Toolkit)
Looking at the last matrix , the last column has the values 2 and -1 in it. So this means that the solution is and forming the ordered pair (2,-1).
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