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Let P3 be the vector space of polynomials of degree at most 3. If T : P3 → R² is an onto linear transformation then the dimension of the kernel of T is one. O True O False

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 71CR: Let V be an inner product space. For a fixed nonzero vector v0 in V, let T:VR be the linear...

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Let P3 be the vector space of polynomials of degree at most 3. If T: P3 → R² is an onto
linear transformation then the dimension of the kernel of T' is one.
True
False

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