Let f : R² → R be defined by f((x,y)) 5x + 7y. Is f a linear transformation? ((x1, Y1) + (®2, Y2)) = ((x1, Y1)) + f({x2, Y2)) = + oes f({x1,y1) + (x2, y»)) = f((x1,41)) + f({x2,y»)) for all (x1, y1), (x»,y») e R??
Let f : R² → R be defined by f((x,y)) 5x + 7y. Is f a linear transformation? ((x1, Y1) + (®2, Y2)) = ((x1, Y1)) + f({x2, Y2)) = + oes f({x1,y1) + (x2, y»)) = f((x1,41)) + f({x2,y»)) for all (x1, y1), (x»,y») e R??
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 5CM: Find the kernel of the linear transformation T:R4R4, T(x1,x2,x3,x4)=(x1x2,x2x1,0,x3+x4).
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