HS.N-VM

HS.N-VM

HS.N-VM.1(+)Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments and use appropriate symbols for vectors and their magnitudes (e.g., v, |v|, ||v||, v).HS.N-VM.10(+)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.HS.N-VM.11(+)Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Understand a matrix as a transformation of vectors.HS.N-VM.12(+)Understand a 2 2 matrix as a transformation of the plane. Interpret the absolute value of the determinant in terms of area.HS.N-VM.2(+)Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.HS.N-VM.3(+)Solve problems involving velocity and other quantities that can be represented by vectors.HS.N-VM.4(+)Add and subtract vectors.HS.N-VM.5(+)Multiply a vector by a scalar.HS.N-VM.6Use matrices to represent and manipulate data.HS.N-VM.7Multiply matrices by scalars to produce new matrices.HS.N-VM.8Add, subtract, and multiply matrices of appropriate dimensions.HS.N-VM.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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