Please solve the chapter about linear algebra fast max 60 minutes thank u V₁ =Review the vector space R³ and basis B = (v₁, V₂,V3) for R³ with(1, 0, 0), v₂ = (2, 2, 0), and v3 = (3,3,3). Let T: R³ R²A linear transformation such that T(v₁) = (2,−1), T(v₂) =(0, 1), and T(v3) = (5,3). Determine the formula for T(x₁,x₂, X3)and use the formula to determine T(−1, 2, 4).

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Answered: V₁ = Review the vector space R³ and…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Please solve the chapter about linear algebra fast max 60 minutes thank u

V₁ =
Review the vector space R³ and basis B = (v₁, V₂,V3) for R³ with
(1, 0, 0), v₂ = (2, 2, 0), and v3 = (3,3,3). Let T: R³ R²
A linear transformation such that T(v₁) = (2,−1), T(v₂) =
(0, 1), and T(v3) = (5,3). Determine the formula for T(x₁,x₂, X3)
and use the formula to determine T(−1, 2, 4).

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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