MATH 3510 Chapter Notes - Chapter 18: Invertible Matrix, Diagonal Matrix, Identity Matrix
Document Summary
Matrix, then a can be viewed as the transition matrix from the basis is any invertible for to the standard basis for. Thus, for example, the matrix which was shown to be invertible in example 4 of section 1. 5, is the transition matrix from the basis to the basis. Concept review: coordinate map, change-of-basis problem, transition matrix. Skills: find coordinate vectors relative to a given basis directly, find the transition matrix from one basis to another, use the transition matrix to compute coordinate vectors. Exercise set 4. 6: find the coordinate vector for w relative to the basis for (a) (b) (c) Answer: (a) (b) (c: find the coordinate vector for v relative to the basis for (a) (b, find the coordinate vector for p relative to the basis for (a) (b) , where (a) find the transition matrix from to b. (b) find the transition matrix from b to (c) compute the coordinate vector.
