In this lesson, students see how vectors can be applied to solving a system of equations in two variables by exploring the geometry of solving systems of equations. Students are guided to the understanding (using pictures only) that the method of transforming systems of linear equations while preserving the solution (A-REI.C.5) can be rephrased in terms of a series of linear transformations and translations.
Again, students write vectors as parametric equations to understand the coherence between their work with functions, linear transformations, and vectors. The work in this lesson helps set the stage for further application of vectors and matrices in the last three lessons of this module.
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