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B. Given the matrix 1 20 A 0-1 4 52 a Find the value of a for which the matrix is singular.

B. Given the matrix 1 20 A 0-1 4 52 a Find the value of a for which the matrix is singular.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.1: Matrix Operations
Problem 20EQ: Referring to Exercise 19, suppose that the unit cost of distributing the products to stores is the...
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Work Problem 2 [ A. Let T be a triangle with vertices (3,1) (2,1) and (0,-4). Find and sketch the images of the vertices under the matrix transformation 2 1 »-[²-3¹]. 4 f(v) = B. Given the matrix 120 A = 0 -1 4 52 a Find the value of a for which the matrix is singular. C. Use the value of a and create the homogenous system which correspond to the matrix A in part B. Does this system have a nontrivial solution? Explain your answer.
Transcribed Image Text:Work Problem 2 [ A. Let T be a triangle with vertices (3,1) (2,1) and (0,-4). Find and sketch the images of the vertices under the matrix transformation 2 1 »-[²-3¹]. 4 f(v) = B. Given the matrix 120 A = 0 -1 4 52 a Find the value of a for which the matrix is singular. C. Use the value of a and create the homogenous system which correspond to the matrix A in part B. Does this system have a nontrivial solution? Explain your answer.
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