Reserved for advanced high school courses, this domain covers arrays of numbers known as vectors and matrices. Students learn how to represent and perform calculations with vectors, including computing their magnitudes and interpreting them geometrically. Students also learn how to perform computations with matrices, including matrix arithmetic, finding their determinants and inverses and reasoning with identity matrices. Students may be introduced to the concept of a matrix as a transformation of a vector and use matrices to represent linear transformations such as reflections, rotations and dilations.
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Perform addition, subtraction and scalar multiplication with vectors.
Define vectors and their properties.
Define and perform computations with matrices, including in the context of transforming vectors.