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Mathematics > Course Model Advanced Quantitative Reasoning (Advanced Course) > Vector and Matrix Quantities
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Mathematics | Course : Model Advanced Quantitative Reasoning (Advanced Course)

Domain - Vector and Matrix Quantities

Cluster - Perform operations on matrices and use matrices in applications.

[AQR.N-VM.C.12] - (+) Work with 2 ×2 matrices as transformations of the plane, and interpret the absolute value of the determinant in terms of area.

Resources:


  • Absolute value
    The absolute value of a real number is its (non-negative) distance from 0 on a number line.
  • Matrix (pl. matrices)
    A rectangular array of numbers or variables.
  • Transformation
    A prescription, or rule, that sets up a one-to-one correspondence between the points in a geometric object (the pre-image) and the points in another geometric object (the image). Reflections, rotations, translations, and dilations are particular examples of transformations.

Predecessor Standards:

No Predecessor Standards found.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • AQR.N-VM.C.8
    (+) Add, subtract, and multiply matrices of appropriate dimensions.
  • AQR.N-VM.C.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.