The standard basis S = {e1, ez} and two custom bases B = {b1, b2} and C = {c1, c2} for R? are shown in the figures below. Standard basis S = {e1, e2} Standard basis S = {e1, ez} 3 2 e2 e2 [idg el el -1 -1 b2 b1 c2 -2 -2 -3 -3 -3 -2 -1 3 -3 -2 -1 3 [id t [id] ↑ [id b2 b1 {b1, bz} Custom basis C = {c1, c2} Custom basis B = a. Find the change of basis matrix from custom B-coordinates to standard S-coordinates. [id = b. Find the change of basis matrix from custom C-coordinates to standard S-coordinates. [id = c. Find the change of basis matrix from B-coordinates to C-coordinates. [id

(Left nullspace) Add the extra column b and reduce A to echelon form: [1 2 3 [Ab] 4 5 6 bi 1 b₂ → 2 3 0-3 -6 7 8 9 b3 0 00 bi b2-4b₁ b3 - 2b2 + b₁ A combination of the rows of A has produced the zero row. What combination is it? (Look at b3 - 2b2+ b₁ on the right side.) Which vectors are in the nullspace of AT and which vectors are in the nullspace of A?

Hello. Please answer the attached Linear Algebra question correctly and completely. Please show all of your work. *If you answer the question correctly and show all of your work, I will give you a thumbs up. Thanks.

3 4 3 3. Compute AB if A = -2 and B = -3 -1 1 -6 (b) Show that First Row of AB is linear combination or of rows of B c) Show that Second column of AB is linear combination of clomns of A