Question

ote: The norm of is denoted by |vand is calculated N a vector u Consider a subspace W of R4, W span(1, v2, v3, v4)). Where 0 из- 1. Find an orthonormal basis Qw of W and find the dimension of W 2. Find an orthonormal basis QWL of WL and find the dimension of WL 3. GIven a vector u- . find the Qw coordinate of Projw(v) . find the Qwa coordinate of Projwi (v) » find the coordinate of v in the new basis of IR 4 given by Qw and 4. Let Q be a matrix, whose column vectors consist of base elements in w and Qw nd

Answer 1

0 f of Al. and uk dimension o 0 외10 To

NOw lut 0

어! lo 43 0 o-nd