16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 8.2.1

Inner Product Spaces

Mathematics — Linear Algebra · orthogonal-complement

Problem

Consider R4R^4 with the standard inner product. Let WW be the subspace of R4R^4 consisting of all vectors which are orthogonal to both α=(1,0,−1,1)\alpha = (1, 0, -1, 1) and β=(2,3,−1,2)\beta = (2, 3, -1, 2). Find a basis for WW.

Browse the problem library