Vector and Matrix Quantities
Perform operations on matrices and use matrices in applications
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More specific sub-standards
Use matrices to represent and manipulate data, e.g., transformations of vectors.
Multiply matrices by scalars to produce new matrices.
Add, subtract, and multiply matrices of appropriate dimensions.
Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.
Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse.
Similar standards elsewhere
Perform operations on matrices and use matrices in applications.