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Let V be the subspace of R2x2 spanned by the matrices where b ^ 0.a. Compute P2 and find

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

Solution for problem 65 Chapter 4.3

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 65

Let V be the subspace of R2x2 spanned by the matrices where b ^ 0.a. Compute P2 and find the coordinate vector [^2]s^ where 3^ = (I2, P) . b. Consider the linear transformation T(M) = M P from V to V. Find the 23-matrix B of T. For which matrices P is T an isomorphism? c. If T fails to be an isomorphism, find the image and kernel of T. What is the rank of T in that case?

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Step 1 of 3

Lecture 7: Limits (Section 2.2) Recall the definition: For a given function f(x), we say that x→c f(x)= L if we can make the values of f(x)aseto L as we want by choosing x sufficiently close to c on either side but not equal to c. ▯ ex. If f(x)= x if x ▯=1 ,dml f(x). f3i x =1 x→1 ▯ ex. If g(x)= f 3i x ≤ 0 ,ndl g(x). −f1i x> 0 x→0

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Chapter 4.3, Problem 65 is Solved
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Textbook: Linear Algebra with Applications
Edition: 4
Author: Otto Bretscher
ISBN: 9780136009269

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Let V be the subspace of R2x2 spanned by the matrices where b ^ 0.a. Compute P2 and find