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10 Nov 2019
Say that R is the linear transformation R^2 rightarrow R^2 that is a counterclockwise rotation by pi/2 radians. What is the standard matrix A for R? A = [] Say that S is the linear transformation R^2 rightarrow R^2 that is reflection about the line y = x. What is the standard matrix B for R? B =[] Now suppose that T is the linear transformation R^2 rightarrow R^2 that is counterclockwise rotation by pi/2 radians followed by reflection about the line y = x. What is the standard matrix C for T? C = [] Given that T is equal to the composition S R, how can we obtain C from A and B? C=A-B C=AB C=A+B C=AB^{-1} C=BA
Say that R is the linear transformation R^2 rightarrow R^2 that is a counterclockwise rotation by pi/2 radians. What is the standard matrix A for R? A = [] Say that S is the linear transformation R^2 rightarrow R^2 that is reflection about the line y = x. What is the standard matrix B for R? B =[] Now suppose that T is the linear transformation R^2 rightarrow R^2 that is counterclockwise rotation by pi/2 radians followed by reflection about the line y = x. What is the standard matrix C for T? C = [] Given that T is equal to the composition S R, how can we obtain C from A and B? C=A-B C=AB C=A+B C=AB^{-1} C=BA
Lelia LubowitzLv2
26 May 2019