Suppose a matrix A has columns that span Rn. Select the best statement. OA. Then the equation Ax = 0 must have nontrivial solutions. ○ B. Then the equation Ax = 0 will have nontrivial solutions precisely when it is not square. O cannot have nontrivial solutions. OC. Then the equation Ax OD. Then the equation Ax OE. Then the equation Ax information. OF. none of the above = - = O will have nontrivial solutions only if one column is a multiple of another column. O can have nontrivial solutions, but the shape of the matrix will not give us that

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 10E
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Suppose a matrix A has columns that span Rn.
Select the best statement.
OA. Then the equation Ax
=
0 must have nontrivial solutions.
○ B. Then the equation Ax = 0 will have nontrivial solutions precisely when it is not square.
O cannot have nontrivial solutions.
OC. Then the equation Ax
OD. Then the equation Ax
OE. Then the equation Ax
information.
OF. none of the above
=
-
=
O will have nontrivial solutions only if one column is a multiple of another column.
O can have nontrivial solutions, but the shape of the matrix will not give us that
Transcribed Image Text:Suppose a matrix A has columns that span Rn. Select the best statement. OA. Then the equation Ax = 0 must have nontrivial solutions. ○ B. Then the equation Ax = 0 will have nontrivial solutions precisely when it is not square. O cannot have nontrivial solutions. OC. Then the equation Ax OD. Then the equation Ax OE. Then the equation Ax information. OF. none of the above = - = O will have nontrivial solutions only if one column is a multiple of another column. O can have nontrivial solutions, but the shape of the matrix will not give us that
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