Let T : R + IR3 be a linear transformation given by T (v) = Av where A is the following matrix:-2-1-22A =-1Find vectors w, w', z, z' which satisfy the following conditions:• w + w' but T (w) =T (w')• z +z but T (z) =T(z')T(w) + T (z)Enter the vector w in the form [, W2, Ws, Wą]:Enter the vector w' in the form [w , w , wg , w¼]:Enter the vector z in the form [21, 22, zs, Z4]:Enter the vector z' in the form [z, , z, , z, z1:

let T:ℝ4→ℝ3 be a linear transformation given by Tv=Av where A=-2-1-22211200-14 find vector w , w' ,…

Answered: Let T : R + IR3 be a linear…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 34E

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Let T : R + IR3 be a linear transformation given by T (v) = Av where A is the following matrix: -2 -1 -2 2 A = -1 Find vectors w, w', z, z' which satisfy the following conditions: • w+w' but T (w) = T (w') z +z but T (z) = T (z') T(w) + T (z) 20