5. (5 points) Consider the following subset of R³ --{0-00) - - {0 (0) = 3 = (a) (1 point) Show that each of the followin
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5. (5 points) Consider the following subset of R³ --{0-00) - - {0 (0) = 3 = (a) (1 point) Show that each of the followin
(b) (2 point) Write down the transition matrix B₁ from the basis B₁ to the standard basis. (c) (2 point) Write down the transition matrix B₂ from the basis B₂ to the standard basis. (d) (1 point) Find the transition matrix from the basis B₂ to the basis B₁. (e) (2 point) If [x]B₂ = (f) (2 point) If [x]B, = the standard basis. B H find [x]B₁. find a, that is find the coordinates of a in (g) (1 point) If a given in the standard basis is a = find [x],