In this lesson, students apply their understanding from Lessons 14 and 15 to systems that are higher than 3-by-3 and to systems in two- and three-dimensional space that are more complicated than those presented in previous lessons.
They discover that, while it is difficult to geometrically describe linear transformations in four- or higher-dimensional space, the mathematics behind representing systems of equations as linear transformations using matrices is valid for higherdegree space. Students apply this reasoning to represent complicated systems of equations using matrices, and they use technology to solve the systems.
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