Unformatted text preview: • Add matrices. • Multiply a matrix by a scalar. • Multiply a matrix by a vector. • Find the dot product of two vectors. • Write a linear system in matrix/vector form. • Know what a linear combination is, and be able to determine whether a given vector can be written as a linear combination of a set of vectors. Chapter 2: Linear Transformations • Know what a linear transformation is, and be able to recognize whether a given function is a linear transformation. • Find the matrix for a linear transformation (see p. 47). • Know the properties of linear transformations, and be able to verify them in an example. • Scale, project, reﬂect, and rotate vectors in R 2 . • Determine whether a given matrix is invertible, and ﬁnd its inverse. • Multiply matrices. • Know and apply the properties of matrix multiplication....
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 Spring '08
 Staff
 Math, Linear Algebra, Vector Space, linear transformation

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