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Learn what matrices are and about their various uses: solving systems of equations, transforming shapes and vectors, and representing real-world situations. Learn how to add, subtract, and multiply matrices, and find the inverses of matrices.
Matrices can be used to perform a wide variety of transformations on data, which makes them powerful tools in many real-world applications. For example, matrices are often used in computer graphics to rotate, scale, and translate images and vectors.
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Matrix multiplication or matrix products with vectors is always a linear transformation. And this is a bit of a side note. In the next video I'm going to show you that any linear transformation-- this is incredibly powerful-- can be represented by a matrix product or by-- any transformation on any vector can be equivalently, I guess, written as ...