Linearalgebras.com: Home - Solutions to Linear Algebra Done Right Online

1. Solution: (a) Note that [ (I-T)(I+T+cdots+T^{n-1})=I-T^n=I ]and [ (I+T+cdots+T^{n-1})(I-T)=I-T^{n}=I ,](in fact we just need to check only one) it follows that $I-T$ is invertible and [(I-T)^{-1}=I...

Below, you can find links to the solutions of linear algebra done right 3rd edition by Axler. Please only read these solutions after thinking about the problems carefully. Do not just copy these solut...

1. Solution: The only vector spaces is ${0}$. For if there is a nonzero vector $v$ in a basis, then we can get a new basis by changing $v$ to $2v$. Here, we just consider the fields $mathb …