: For a 4 x 4 linear system AX = O if (3, 0,0,0) is a solution for this system, Then

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 42EQ
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j. For any 3 x 3 linear system AX = 0 if det A #0
Then
Select one:
O the linear system is inconsistent with a unique solution which is the
trivial solution
O the linear system has infinite solutions
O (0,0,0) is the unique solution
O the linear system is inconsistent with unique solution
:For a 4 x 4 linear system AX = 0 if (3,0,0,0) is a
solution for this system, Then
Select one:
O the linear system has infinite solutions
O the linear system is inconsistent with infinite solution
O the linear system has a unique solution
O None of the others
O the linear system is consistent with a unique solution which is the
trivial solution
Transcribed Image Text:j. For any 3 x 3 linear system AX = 0 if det A #0 Then Select one: O the linear system is inconsistent with a unique solution which is the trivial solution O the linear system has infinite solutions O (0,0,0) is the unique solution O the linear system is inconsistent with unique solution :For a 4 x 4 linear system AX = 0 if (3,0,0,0) is a solution for this system, Then Select one: O the linear system has infinite solutions O the linear system is inconsistent with infinite solution O the linear system has a unique solution O None of the others O the linear system is consistent with a unique solution which is the trivial solution
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