Let ū== = [1,2,0]T and 7 = = [1,0, 3]T. (a) (2 points) What is span{u, u}? (You can describe this algebraically, geometrically, or in your own words; but be precise!) span {u, v'} Spon { [] [] [] * span 2 (64)-(6)] -2 3 03 both they are Linearly inslependent independent in 7R3, there fore both vector form or plane in Ph ³. (b) (3 points) Show that the vector w = [8, 10,9] is in span{ū,v}. GU + G V =. W 1 78 705 [][ 2 16 39 ][ :) 60 o there is no pivol column in in therefore the w is in the pan { 0,0} (c) (3 points) Is the set {u,, w} linearly independent or linearly dependent? Make sure to justify your answer. ue can as from per (6) the w we could get linear dependant from the {v} الله
Let ū== = [1,2,0]T and 7 = = [1,0, 3]T. (a) (2 points) What is span{u, u}? (You can describe this algebraically, geometrically, or in your own words; but be precise!) span {u, v'} Spon { [] [] [] * span 2 (64)-(6)] -2 3 03 both they are Linearly inslependent independent in 7R3, there fore both vector form or plane in Ph ³. (b) (3 points) Show that the vector w = [8, 10,9] is in span{ū,v}. GU + G V =. W 1 78 705 [][ 2 16 39 ][ :) 60 o there is no pivol column in in therefore the w is in the pan { 0,0} (c) (3 points) Is the set {u,, w} linearly independent or linearly dependent? Make sure to justify your answer. ue can as from per (6) the w we could get linear dependant from the {v} الله
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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