Thank you 1. Let W be a vector space of all symmetric 2 x 2 matrices. Let T: W → P2(R)be a linear transformation defined byT6 cb7— (а — b) + (b — с)т + (с — а)1*.Find the nullity and rank of T. Is T an isomorphism? Why?

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1. Let W be a vector space of all symmetric 2 x 2 matrices. Let T : W → P2(R) be a linear transformation defined by ) = (a – 6) + (& – c)r + (c – – a)x². T Find the nullity and rank of T. Is T an isomorphism? Why?

1. Let W be a vector space of all symmetric 2 x 2 matrices. Let T : W → P2(R) be a linear transformation defined by ) = (a – 6) + (& – c)r + (c – – a)x². T Find the nullity and rank of T. Is T an isomorphism? Why?

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 16CM

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Thank you

1. Let W be a vector space of all symmetric 2 x 2 matrices. Let T: W → P2(R)
be a linear transformation defined by
T
6 c
b7
— (а — b) + (b — с)т + (с — а)1*.
Find the nullity and rank of T. Is T an isomorphism? Why?

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