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Standards/Math/Northern Mariana Islands/HSN.VM.C

HSN.VM.C

HSN.VM Vector and Matrix Quantities
HSN.VM.A
HSN.VM.B
HSN.VM.C
HSN.VM.C.10HSN.VM.C.11HSN.VM.C.12HSN.VM.C.6HSN.VM.C.7HSN.VM.C.8HSN.VM.C.9

Perform operations on matrices and use matrices in applications.

HSN.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.HSN.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.HSN.VM.C.12Work with 2 × 2 matrices as a transformations of the plane, and interpret the absolute value of the determinant in terms of area.HSN.VM.C.6Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network.HSN.VM.C.7Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled.HSN.VM.C.8Add, subtract, and multiply matrices of appropriate dimensions.HSN.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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