Chapter 4 Matrices (MX)
What algebraic structure do matrices have?
By the end of this chapter, you should be able to...
Express row operations through matrix multiplication.
Determine if a matrix is invertible, and if so, compute its inverse.
Before beginning this chapter, you should be able to...
Compose functions of real numbers.
Identify the domain and codomain of linear transformations.
Find the matrix corresponding to a linear transformation and compute the image of a vector given a standard matrix.
Review: Section 3.2
Determine if a linear transformation is injective and/or surjective.
Review: Section 3.4
Interpret the ideas of injectivity and surjectivity in multiple ways.