# Linear Algebra questions and answers in February 2023

. 1. Recall the p-norm || . |Ip: R" -> R defined for a = (21, 12, ...,.,)TER" by the formula 1/p Illp = In the case p = co, we have | |allco - max {|r,|, |x2|, .... [,|}. Also, recall t... . Consider Ru = {(330,331," .) I 331; E R} the vector space of countably infinite sequences of reals. We define the following maps: L($ﬂ,$1,$2,...) = ($1,232,...) R[a:n,a:1,a:2,...)=(0,s:ﬂ,a:1... . QUESTION 12.1 Basis for the 2D Space Choose one . 4 points Which set S = { v1, v2} form a basis for IR? ? O vi = (2, 1), v2 = (0, 0) O vi = (2, 0), 12 = (0, 1) O vi = (1, 2), U2 = (4, 8) QUESTION ...