Math 210-01: Linear Algebra: Reading Homework 6.3
- Matrices for Linear Transformations : why might we like matrix representations of linear transformations? how many linear transformations can we write in a matrix representation? what is the heart of doing this?
- Standard Matrices : explain how to find the standard matrix for a linear transformation
- finding standard matrices : how are the
coefficients of the linear transformation
(x_{1},x_{2},x_{3})->(x_{1} - 2x_{2} + 5x_{3}, 2x_{1} +
3x_{3}, 4x_{1} + x_{2} - 2x_{3}) related to its standard matrix?
- Composition of Linear Transformations : what is the composition of two linear transformations? how are the standard matrices of the composed linear transformations related to the standard matrix of the composition?
- general composition : how can we generalize composition? what is significant about the commutativity of composition?
- Inverse of a Linear Transformation : what does it mean to say that a linear transformation is invertible?
- invertibility : what conditions are equivalent for the invertibility of a linear transformation?
Math 210-01: Linear Algebra: Reading Homework 6.3
Last Modified: Thu Apr 8 21:03:36 1999
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