Linear Algebra Done Right · Problem 6A.11

Inner Product Spaces — Sheldon Axler

Mathematics — Linear Algebra · inner-products-and-norms

Problem

Find vectors

u, v \in \mathbf{R}^2

such that

u

is a scalar multiple of

(1, 3)

v

is orthogonal to

(1, 3)

, and

(1, 2) = u + v