Solution Found!
be an orthogonal basis for a subspace W of be defined by
Chapter 6, Problem 22E(choose chapter or problem)
QUESTION:
Let \(\mathbf{u}_{1}, \ldots, \mathbf{u}_{p}\) be an orthogonal basis for a subspace W of \(\mathbb{R}^{n}\), and let \(T: \mathbb{R}^{n} \rightarrow \mathbb{R}^{n}\) be defined by \(T(\mathbf{x})=\operatorname{proj}_{W} \mathbf{x}\). Show that T is a linear transformation.
Questions & Answers
QUESTION:
Let \(\mathbf{u}_{1}, \ldots, \mathbf{u}_{p}\) be an orthogonal basis for a subspace W of \(\mathbb{R}^{n}\), and let \(T: \mathbb{R}^{n} \rightarrow \mathbb{R}^{n}\) be defined by \(T(\mathbf{x})=\operatorname{proj}_{W} \mathbf{x}\). Show that T is a linear transformation.
ANSWER:Solution 22E = Conc