Systems of equations with Matrices | IB Math AIHL | Perplex
Matrices (Lesson 4/5)
Systems of equations with Matrices
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Discussion
Consider the system of equations
{ax+2y=33x+3y=4
Let x=(xy), and b=(34).
(a)
Write the system of equations in the form Ax=b, where A is a matrix.
Solution:
Think of each equation as a “row” of numbers multiplying (xy). Put the x- and y-coefficients into a matrix so that multiplying recreates the left-hand sides.