างq3. Let T() be a linear transformation such that T(a) = 0 for a 0 and let c be a vector suchT(c) d, where d #0. Then:a. T() is invertibleb. T(ac) d, where a € R.any e #0 we can find a vector f such that T(c+f) = d+ec. Ford. There exists a vector b c such that T(b) = d

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Answered: 3. Let T(-) be a linear transformation…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.2: The Kernewl And Range Of A Linear Transformation

Problem 59E: Let T:R3R3 be the linear transformation that projects u onto v=(2,1,1). (a) Find the rank and...

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3. Let T(-) be a linear transformation such that T(a) = 0 for a 0 and let c be a vector such T(c)=d, where d #0. Then: a. T() is invertible b. T(ac) d, where a € R. c. For any e #0 we can find a vector f such that T(c+f) = d+e d. There exists a vector b c such that T(b) = d