Let A be a 2 x 4 matrix with two pivot positions. Determine if a) equation Ax = 0 has a nontrivial solution blequatio Ax=b has unique solution for every possible b O The equation Ax=0 has a nontrivial solution and equation Ax=b has unique solution for every possible b O The equation Ax = 0 has a nontrivial solution and the equation Ax=b does not have unique solution for every possible b O The equation Ax = 0 has trivial solution and equation Ax b does not have unique solution for every possible b. O The equation Ax = 0 has trivial solution and equation Ax=b has unique solution for every possible b.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.5: Iterative Methods For Computing Eigenvalues
Problem 51EQ
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Question 24
Let A be a 2 x 4 matrix with two pivot positions. Determine if a) equation Ax = 0 has a nontrivial solution blequation
Ax=b has unique solution for every possible b
O The equation Ax = 0 has a nontrivial solution and equation Ax=b has unique solution for every possible b
O The equation Ax = 0 has a nontrivial solution and the equation Ax=b does not have unique solution for every possible b.
O The equation Ax = 0 has trivial solution and equation Ax=b does not have unique solution for every possible b.
O The equation Ax=0 has trivial solution and equation Ax=b has unique solution for every possible b.
Transcribed Image Text:Question 24 Let A be a 2 x 4 matrix with two pivot positions. Determine if a) equation Ax = 0 has a nontrivial solution blequation Ax=b has unique solution for every possible b O The equation Ax = 0 has a nontrivial solution and equation Ax=b has unique solution for every possible b O The equation Ax = 0 has a nontrivial solution and the equation Ax=b does not have unique solution for every possible b. O The equation Ax = 0 has trivial solution and equation Ax=b does not have unique solution for every possible b. O The equation Ax=0 has trivial solution and equation Ax=b has unique solution for every possible b.
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