2. This is a question in two independent parts, both about complete solutions. (a) Express in parametric form all the solutions to the following system. 1 0 -2 -5 -1 1 3 7 I = 3-2 (b) Suppose A is a 3 x 3 matrix and y in R is such that Ar = y does NOT have a solution. Is it possible for there to exist any vector z in R such that the equation Ar = z has a unique solution? Explain.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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2. This is a question in two independent parts, both about complete solutions.
(a) Express in parametric form all the solutions to the following system.
1
0 -2
51
1
3
-2
(b) Suppose A is a 3 x 3 matrix and y in R is such that Ar = y does NOT have a solution. Is
it possible for there to exist any vector z in R' such that the equation Ar = z has a unique
solution? Explain.
Transcribed Image Text:2. This is a question in two independent parts, both about complete solutions. (a) Express in parametric form all the solutions to the following system. 1 0 -2 51 1 3 -2 (b) Suppose A is a 3 x 3 matrix and y in R is such that Ar = y does NOT have a solution. Is it possible for there to exist any vector z in R' such that the equation Ar = z has a unique solution? Explain.
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