Question: Determine whether the following statements are true or false, and justify your answer in either case. If answering "false", a counterexample suffices. If answering "true", it is not enough to merely show a supporting example; you must demonstrate how the statement follows from the definitions and properties learned in class.

1. Let u, v, w be vectors in \(\mathbb{R}^{n}\). Let \(w\) be orthogonal to both \(u\) and \(v\). Then \(u-v\) is orthogonal to $4 w
2. Let \(A\) be a \(2 \times 2\) matrix such that \(\operatorname{det} A=1\). Then \(A\) is orthogonal.

Price: $2.99

Solution: The downloadable solution consists of 1 pages
Deliverable: Word Document