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Solving equations with inverse matrices
Learn how to solve systems of linear equations using inverse matrices, and how to solve matrix equations using inverse matrices.
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 systems of two linear equations with matrix equations by determining A and b in the matrix equation A*x=b.
After he represented a system of equations with a single matrix equation, Sal solves that matrix equation using the inverse of the coefficient matrix.
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.