Question

LINEAR ALGEBRA (1) SECOND SEMSTER FINAL HOMEWORK (5) 31-5-2020 Question 6: a) Determine whether T : R3 → R defined by T(x,y) = xy is linear transformation or not (show all the axioms ) b) Find u.v given that | u +v1=2 and u-v||=6 c) Let V and U be vectors in R” Then prove V.U\<|||||||||| A = 2 11 - 2 3 1-27 d) suppose 4 1, V = 0,U = 2 -1 0 5 4 1) Determine whether or not AU.V =U.AV. 2) Find ||U – V 1. w 3) verify Cauchy-Schwarz inequality hold for U and V

Answer 1

As per HomeworkLib policy, I should provide solution of 1 question at a time. Still I am answering your 3 questions. Please ask 4th question separately.

r(, y) - 13 det (n.) and (221) E R T (2,7) + (22,9₂)) T (1, h2, 4, +4₂) (2, +22) (4, +4₂) - nyt niggt ₂9, +2292 and +(1.9) + T (229) - ny, & 2292 2 را ) egr and are not equal, so, t is not a linear ransformation lutul²= uitlul+ 2 lullul caso 14-vje luft lui- 21allul caso eph 0 - & 14+0²-14-vi= 2141111ceso » 2-6 = 2 (lov) uva -8 2

(0) lv.ul vilul cosol lullul cos ol since coso E [1,1] "scosol El & Iultul casol Elulilul.
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