Summary: LINEAR ALGEBRA (MATH 317H)
Assignment 10/11 - inverting matrices, Dimension, Finite Dimensional
(1) Compute the inverse of the matrix
1 2 1
3 7 3
2 3 4
by row reduction. Show all the steps.
(2) True or false. Give a counterexample in the case of a false statement. You
do not need to prove true statements.
(a) A vector space can have more than a basis.
(b) If V is a vector space having dimension n 1 then V has infinitely
many subspaces of dimension n - 1.
(c) The dimension of Pn is n + 1
(d) If a vector space has a basis then the number of vectors in every basis