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Get Full Access to Linear Algebra With Applications - 4 Edition - Chapter 4.3 - Problem 65
Get Full Access to Linear Algebra With Applications - 4 Edition - Chapter 4.3 - Problem 65

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# Let V be the subspace of R2x2 spanned by the matrices where b ^ 0.a. Compute P2 and find ISBN: 9780136009269 434

## Solution for problem 65 Chapter 4.3

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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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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##### ISBN: 9780136009269

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