Q3. Let A = -1 10 3 2-2 0-6 4 0 12 (a) Find the null space of A. (b) Let a linear transformation T: R" → R be defined by T() = A. Find n and m. (c) For the linear transformation T defined in part (b) find dim(Ker(T')) and dim(Im(T)).
Q3. Let A = -1 10 3 2-2 0-6 4 0 12 (a) Find the null space of A. (b) Let a linear transformation T: R" → R be defined by T() = A. Find n and m. (c) For the linear transformation T defined in part (b) find dim(Ker(T')) and dim(Im(T)).
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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