One of the following is not a linear transformation a) T : P4 → P3 defined by T(p) = p' b) T : R³ → R² defined by T(u) = A where A is a 2 x 3 matrix c) T : R² → R defined by T(u) = ||u|| d) T: M M2 defined by T(A) = tr(A
One of the following is not a linear transformation a) T : P4 → P3 defined by T(p) = p' b) T : R³ → R² defined by T(u) = A where A is a 2 x 3 matrix c) T : R² → R defined by T(u) = ||u|| d) T: M M2 defined by T(A) = tr(A
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 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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