2. Find the coordinate vector [] of a relative to the given basis B = {b₁,b₂, b3} . -3 -0-0-8-8 b₂ = 4 b3 = -2 9 b₁ = -3 2 4 -9 6

Oa + Ob + 0c +4d la + (-1) b+ (-2) c +4d 0a+1b+ (-2) c +5d la + (-1) b + (-2) c + 2d 2a + 1b+ (-10) c +4d Then an orthogonal basis for Range(T) would be: Note that if you do not need a basis vector, then write 0 for all entries of that basis vector. For example, if you only need 2 vectors in your basis, then write 0 in all boxes corresponding to the third vector 1) Let T a [25] =

1 (a) Write the following vectors as column vectors. i. 42₁-323 +2ẻ₂ — 2ẻ₁ € R³. ii. ₂ + ₁ - 52₂ € R².

Find the coordinate vector of v = [-7 [-7 [011], [221] ). −4 -4 -5] relative to the ordered basis B = ([101], VB =