Let u = [3 8 1 −4], v = [1 3 3 4], and let W be the subspace of R4 spanned by u and v. Find a basis of W⊥, the orthogonal complement of W in R4.

Consider the subspaces U = {(a, b, c, d) : b – 2c+d = 0} and W = {(a, b, c, d) : a = d, b = 2c} of R*. Find a basis and the dimensi on of (a) U, (b) W, (c) UnW.

Let V₁ = (1,4,5,6,9), v₂ =(3, 2, 1,4, -1), V3 = (-1,0,-1, -2, -1), V4=(2,3,5,7,8), Find a basis for the orthogonal complement of the subspace of RS spanned by the vectors, V1, V2, V3, and V4. Choose the correct answer from the options below. a,((-1,-1,1,0,0), (-2,-1,0,1,0), (1, -2,0,0,1)) b,((-2,-1,1,0,0), (-2,-1,0, 1,0), (-1, -2,0,0,1)) c,(-1,-1,1,0,0), (-2,3,0,1,0), (-1, -2,0,0,1)) d,(-1,-1,1,0,0), (-2,-1,0,1,0), (-1,-1,0,0,1)).

デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT 6. A small metal bar, whose initial temperature was 20°C, is dropped into a large container containing boiling water. How long will it take for the bar to reach 90°C if it is known that its temperature increased 5°C in a second?