Solve the problem. 0 E --6 0 1 The columns of 13 are e₁= e2= e3 0 Suppose that T is a linear transformation from R³ into R² such that -[-$]. -[3] T( e₁) - , and T( e3) = -[3] X1 Find a formula for the image of an arbitrary x= O x1 6x1-3x27 Tx2 = 2x1 x3 2x2 + x3 Ox1 6x1+2x2-2x3 -3x1 + x3 6x1-3x2 2x1 6x1+2x2-2x3 -3x1 + x3 Tx2 = x3 Ox1 Tx2= x3 Ox1 Tx2 - 2x1 , T(e₂) = 2
Solve the problem. 0 E --6 0 1 The columns of 13 are e₁= e2= e3 0 Suppose that T is a linear transformation from R³ into R² such that -[-$]. -[3] T( e₁) - , and T( e3) = -[3] X1 Find a formula for the image of an arbitrary x= O x1 6x1-3x27 Tx2 = 2x1 x3 2x2 + x3 Ox1 6x1+2x2-2x3 -3x1 + x3 6x1-3x2 2x1 6x1+2x2-2x3 -3x1 + x3 Tx2 = x3 Ox1 Tx2= x3 Ox1 Tx2 - 2x1 , T(e₂) = 2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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