The Standard Basis S Es Ea And Two Custom Bases B B1 B2 And C Es Ca For R Are Shown In The Figures Below W W 1 (33.61 KiB) Viewed 21 times
The Standard Basis S Es Ea And Two Custom Bases B B1 B2 And C Es Ca For R Are Shown In The Figures Below W W 2 (39.02 KiB) Viewed 21 times
The standard basis S (es, ea) and two custom bases B (b1,b2) and C- (es, ca) for R² are shown in the figures below. W W Standard basis S-(01,02) Standard basis S-(e1,02) N y -1 -2 -3 12 -3-2-1 2 el by 2 3 lidl t lid lidg 9 2 1 -1 -2 -3-2-1 [id] ↑ Custom basis B (b1,b2) a. Find the change of basis matrix from custom B-coordinates to standard S-coordinates. 02 1 2 3 c2 Custom basis C (C₁, C₂) O
a. Find the change of basis matrix from custom B-coordinates to standard S-coordinates. [id] = [id] = 1/10 [id] = -3/10 b. Find the change of basis matrix from custom C-coordinates to standard S-coordinates. [id] = 1/2 1/4 -1/5 -3/10 c. Find the change of basis matrix from B-coordinates to C-coordinates. -2/5 -1/10 -1 1/2 -1/4 4/5 d. Find the change of basis matrix from C-coordinates to B-coordinates. -2/5 -2 -1/2
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