b. Let B = {T1, đ2, 73}, C = {71, 72, T3}, %3D be two orthogonal bases for R³. Show that the change-of-coordinates matrix PB-c is orthogonal.

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 68E: Show that the three points (x1,y1)(x2,y2) and (x3,y3) in the a plane are collinear if and only if...
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b. Let
B = {T1, t2, t3}, C = {71, 72, 73},
be two orthogonal bases for R³. Show that the change-of-coordinates matrix
PB>c is orthogonal.
Transcribed Image Text:b. Let B = {T1, t2, t3}, C = {71, 72, 73}, be two orthogonal bases for R³. Show that the change-of-coordinates matrix PB>c is orthogonal.
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