Practice for Exam 3 = Matrices and Linear Equations (Finite math; Fall 25)

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A walkthrough of a practice exam for the third exam dealing with the topics of matrices and linear equations. These problems are slight variations of the posted practice exam.

This is NOT the test, but is a good way to practice for the test. For best results you should practice as many problems as you can from a wide variety of sources.

For more information: https://www.businessmath.org/
Presenter: Steve Butler (https://www.stevebutler.org/)

0:00 1-This is only a practice test
1:53 2-Solve by substitution or elimination by addition
6:15 3-Write system from augmented matrix
9:45 4-Carry out a row operation
13:06 5-Put matrix in reduced form
19:30 6-Find all solutions to system
28:47 7-Find solution by Gaussian solution
35:34 8-Do matrix multiplication
39:45 9-Do matrix arithmetic
45:52 10-Find a 3x3 matrix inverse
1:08:05 11-Go from matrix to system of equations
1:09:50 12-Solve system by using inverse of 2x2
1:14:32 13-Find the linear inequality from picture
1:16:54 14-Graph solution set to system of inequalities
1:21:14 15-Solve system; bounded/unbounded; find corners
1:26:07 16-Solve linear programming problem
1:35:47 17-Solve linear programming problem