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Let f : R? → R be defined by f((r, y)) = -8x – 5y. Is fa linear transformation? a. f(r1, Y1) + (x2, Y2)) =| (Enter 21 as x1, etc.) f((T1, 41)) + f((®2, Y2)) = + Does f((r1,41) + (x2, Y2)) = f(x1, Y1)) + f((x2, Y2)) for all (x1,y), (x2, Y2) E R²? choose b. f(c(x, y)) = c(f({x, y))) =| Does f(c(x, y)) = c(f((x, y))) for all c e R and all (x, y) e R?? choose choose Yes, they are equal No, they are not equal c. Is fa linear transformation? choose

Let f : R? → R be defined by f((r, y)) = -8x – 5y. Is fa linear transformation? a. f(r1, Y1) + (x2, Y2)) =| (Enter 21 as x1, etc.) f((T1, 41)) + f((®2, Y2)) = + Does f((r1,41) + (x2, Y2)) = f(x1, Y1)) + f((x2, Y2)) for all (x1,y), (x2, Y2) E R²? choose b. f(c(x, y)) = c(f({x, y))) =| Does f(c(x, y)) = c(f((x, y))) for all c e R and all (x, y) e R?? choose choose Yes, they are equal No, they are not equal c. Is fa linear transformation? choose

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 6CM: Let T:R4R2 be the linear transformation defined by T(v)=Av, where A=[10100101]. Find a basis for a...
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Let f : R? → R be defined by f((r, y)) = -8x – 5y. Is fa linear transformation? a. f(r1, Y1) + (x2, Y2)) =| (Enter 21 as x1, etc.) f((T1, 41)) + f((®2, Y2)) = + Does f((r1,41) + (x2, Y2)) = f(x1, Y1)) + f((x2, Y2)) for all (x1,y), (x2, Y2) E R²? choose b. f(c(x, y)) = c(f({x, y))) =| Does f(c(x, y)) = c(f((x, y))) for all c e R and all (x, y) E R?? choose choose Yes, they are equal No, they are not equal c. Is fa linear transformation? choose Are the following helpful? v Proposition 5.18. Definition 6.10. Definition 6.17. Proposition 6.33.
Transcribed Image Text:Let f : R? → R be defined by f((r, y)) = -8x – 5y. Is fa linear transformation? a. f(r1, Y1) + (x2, Y2)) =| (Enter 21 as x1, etc.) f((T1, 41)) + f((®2, Y2)) = + Does f((r1,41) + (x2, Y2)) = f(x1, Y1)) + f((x2, Y2)) for all (x1,y), (x2, Y2) E R²? choose b. f(c(x, y)) = c(f({x, y))) =| Does f(c(x, y)) = c(f((x, y))) for all c e R and all (x, y) E R?? choose choose Yes, they are equal No, they are not equal c. Is fa linear transformation? choose Are the following helpful? v Proposition 5.18. Definition 6.10. Definition 6.17. Proposition 6.33.
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