13.) In each part, use the given information to find the nullity of the linear transformation T. а. Т: R$ P, has rank 3. b. T: P → P, has rank 1. 4 c. The range of T: Mm R is R³. d. T: M22 M22 has rank 3.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 54EQ
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13.) In each part, use the given information to find the nullity of
the linear transformation T.
а. Т:R$
P, has rank 3.
b. T: P,→ P, has rank 1.
>
c. The range of T : Mmn
R is R³.
d. T: M M, has rank 3.
Transcribed Image Text:13.) In each part, use the given information to find the nullity of the linear transformation T. а. Т:R$ P, has rank 3. b. T: P,→ P, has rank 1. > c. The range of T : Mmn R is R³. d. T: M M, has rank 3.
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