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Consider a linear transformation T from M2 to R3. Use T(i) and T (2) to describe the

Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher ISBN: 9780136009269 434

Solution for problem 3 Chapter 2.2

Linear Algebra with Applications | 4th Edition

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Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher

Linear Algebra with Applications | 4th Edition

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Problem 3

Consider a linear transformation T from M2 to R3. Use T(?i) and T (?2) to describe the image of the unit square geometrically.

Step-by-Step Solution:
Step 1 of 3

M303 Section 4.2 Notes- Null Spaces, Column Spaces, and Linear Maps 10-28-16  Matrices and linear maps give many examples of subspaces  Null space of × matrix - denoted ; set of solutions to homogeneous equation = , notated = ℝ : = } o Set of all ℝ mapped into zero vector of ℝ via linear transformation = o Finding means solving = ; parametric vector form of solution gives spanning set to explicitly describe null space 1 −3 −2 o Ex. Let [ ]. Is = 5,3,2 in

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Chapter 2.2, Problem 3 is Solved
Step 3 of 3

Textbook: Linear Algebra with Applications
Edition: 4
Author: Otto Bretscher
ISBN: 9780136009269

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Consider a linear transformation T from M2 to R3. Use T(i) and T (2) to describe the