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October 23, 2014

October 23, 2014

Posted by **Jon** on Friday, February 29, 2008 at 2:28am.

Solve the matrix equation:

|4 -5||m|=|32|

|1 2| |n|=|-5|

A= |4 -5|

|1 2|

X= |m|

|n|

B= |32|

|-5|

Step 1. Find the inverse of the coefficient matrix.

A^-1= 1/13|2 5|

|-1 4|

(I get confused in step 2)

Step 2. Multiply each side of the matrix by the inverse matrix

- Algebra II (Matrices) -
**Reiny**, Friday, February 29, 2008 at 7:45amI am going to leave out the 1/13 on both sides of the matrix equation, so they line up nicely

│ 2 5││ 4-5││m│

│-1 4││ 1 2││n│ =

│ 2 5││32│

│-1 4││-5│

│13 0││m│

│0 13││n│ =

│ 39│

│-52│

so 13m=39 ----> m=3

and 13n=-52 --> n=-4

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