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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.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.

Resources:


  • Matrix (pl. matrices)
    A rectangular array of numbers or variables.
  • Multiplicitive inverses
    Two numbers whose product is 1 are multiplicative inverses of one another. Example: 3∕4 and 4∕3 are multiplicative inverses of one another because 3∕4 x 4∕3 = 4∕3 x 3∕4 = 1.

Predecessor Standards:

No Predecessor Standards found.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • AII.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.
  • MIII.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.
  • 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.