Common Core · Mathematics
N-VM.12
High school · High School: Number & Quantity — Vector & Matrix Quantities
(+) Work with 2 × 2 matrices as transformations of the plane, and interpret the absolute value of the determinant in terms of area.
- Official code
- CCSS.MATH.CONTENT.HSN-VM.12
- Short code
- N-VM.12
- Subject
- Mathematics
- Grade
- High school
- Domain
- High School: Number & Quantity — Vector & Matrix Quantities
More High school High School: Number & Quantity — Vector & Matrix Quantities standards
N-VM.1
(+) Recognize vector quantities as having both magnitude and direction. Represent...
N-VM.10
10. (+) Understand that the zero and identity matrices play a role in matrix addition...
N-VM.11
(+) Multiply a vector (regarded as a matrix with one column) by a matrix of suitable...
N-VM.2
(+) Find the components of a vector by subtracting the coordinates of an initial point...
N-VM.3
(+) Solve problems involving velocity and other quantities that can be represented by vectors.
N-VM.4
(+) Add and subtract vectors.
N-VM.4a
Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that...
N-VM.4b
Given two vectors in magnitude and direction form, determine the magnitude and...
N-VM.4c
Understand vector subtraction v — w as v + (—w), where —w is the additive inverse of...
N-VM.5
(+) Multiply a vector by a scalar.
N-VM.5a
Represent scalar multiplication graphically by scaling vectors and possibly reversing...
N-VM.5b
Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the...
N-VM.6
(+) Use matrices to represent and manipulate data, e.g., to represent payoffs or...
N-VM.7
(+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the...
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