MA19.PRE.14

Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.14
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.

Unpacked Content

Knowledge

Students know:

Conditions under which matrix multiplication is defined.
Techniques for adding and multiplying matrices.
Techniques for scalar multiplication.
Techniques for performing translations, rotations, reflections, and dilations.

Skills

Students are able to:

Write a vector in matrix notation.
Determine if matrix multiplication is defined for a given product of a matrix by a vector.
Multiply a vector by a matrix.
Add, multiply, and perform scalar multiplication on matrices.

Understanding

Students understand that:

Mathematical representations such as vectors and matrices may be used in a wide variety of settings to model and solve real world problems and this modeling is facilitated by fluent use of techniques for working with these representations.
Transformations of multiple vectors may be accomplished by the use of matrix multiplication as a means of transforming all vectors at the same time in a similar manner.

Vocabulary

Transformation of Vectors

Design by Adaptive Theme