Solving equations with inverse matrices

3 videos
1 skill
Learn how to solve systems of linear equations using inverse matrices, and how to solve matrix equations using inverse matrices.

Representing linear systems with matrix equations

VIDEO 9:55 minutes
Sal shows how a system of two linear equations can be represented with the equation A*x=b where A is the coefficient matrix, x is the variable vector, and b is the constant vector.

Represent linear systems with matrix equations

Represent systems of two linear equations with matrix equations by determining A and b in the matrix equation A*x=b.

Solving linear systems with matrix equations

VIDEO 6:40 minutes
After he represented a system of equations with a single matrix equation, Sal solves that matrix equation using the inverse of the coefficient matrix.

Matrix word problem: vector combination

VIDEO 14:20 minutes
Sal finds the appropriate combination of two given vectors in order to obtain a third given vector. This is done by representing the problem with a single matrix equation and solving that equation.