Vector and Matrix Quantities
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Related standards
- This standard is part of: N.VM
- This standard is derived from: CCSS.Math.Content.HSN-VM.C
More specific sub-standards
Multiply 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.
Use matrices to represent and manipulate data (e.g., representing information in a linear programming problem as a matrix or rewriting a system of equations as a matrix.)
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.
Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.
Add, subtract, and multiply matrices of appropriate dimensions; find determinants of 2×2 matrices.
Similar standards elsewhere
Perform operations on matrices and use matrices in applications.