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