P.N-VM.C

Perform operations on matrices and use matrices in applications.

P.N-VM.C.10Understand 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.P.N-VM.C.11Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of vectors.P.N-VM.C.12Work with 2 x 2 matrices as transformations of the plane, and interpret the absolute value of the determinant in terms of area.P.N-VM.C.6Use matrices to represent and manipulate data.P.N-VM.C.7Multiply matrices by scalars to produce new matrices.P.N-VM.C.8Add, subtract, and multiply matrices of appropriate dimensions.P.N-VM.C.9Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.
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