Solve the problem. [1 The columns of 13 = 0 0 O Suppose that T is a linear transformation from R³ into R2 such that T( e₁) = [2]. T( e₂) = [], and T( e3) = [³]. x1 Tx2 = x3 x1 Find a formula for the image of an arbitrary x = x2 in R³. x3 x1 Tx2 = x3 x1 Tx2 - x3 00 1 0 are e₁ = 0 1 5x1+3x2-3x3 -2x1 5x1-2x2 3x1 3x2 + x3 5x1-2x2 3x1 100 + x3 0 , e₂=1, e3= 0 0 O [x1] [5x1+3x2-3x3]
Solve the problem. [1 The columns of 13 = 0 0 O Suppose that T is a linear transformation from R³ into R2 such that T( e₁) = [2]. T( e₂) = [], and T( e3) = [³]. x1 Tx2 = x3 x1 Find a formula for the image of an arbitrary x = x2 in R³. x3 x1 Tx2 = x3 x1 Tx2 - x3 00 1 0 are e₁ = 0 1 5x1+3x2-3x3 -2x1 5x1-2x2 3x1 3x2 + x3 5x1-2x2 3x1 100 + x3 0 , e₂=1, e3= 0 0 O [x1] [5x1+3x2-3x3]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 7E
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