Skip to main content ☰ Contents Index You! < Prev ^ Up Next > \(\newcommand{\avec}{{\mathbf a}}
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Chapter 2 TBIL Activities: Vectors, Matrices, and Linear Combinations
Objectives
I can translate back and forth between a system of linear equations, a vector equation, and the corresponding augmented matrix.
I can compute the solution set for a system of linear equations or a vector equation with infinitly many solutions.
I can multiply matrices.
I can determine if a Euclidean vector can be written as a linear combination of a given set of Euclidean vectors by solving an appropriate vector equation.
I can determine if a set of Euclidean vectors spans \(\IR^n\) by solving appropriate vector equations.
I can determine if a set of Euclidean vectors is linearly dependent or independent by solving an appropriate vector equation.
I can translate back and forth between a linear transformation of Euclidean spaces and its standard matrix, and perform related computations.
