The determinant of a matrix is calculated to be -6. What, if anything, does this mean about the system of equations that the matrix represents? Select one: O i. The set of equations is linearly independent. O ii. The set of equations is linearly dependent. O ii. A mistake was made, the determinant of a matrix can't be negative. O iv. None of the Above

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...
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choose:

The determinant of a matrix is
calculated to be -6. What, if anything,
does this mean about the system of
equations that the matrix represents?
Select one:
The set of equations is linearly
independent.
i.
ii. The set of equations is linearly
dependent.
O i. A mistake was made, the
determinant of a matrix can't be
negative.
O iv. None of the Above
O v. The determinant of the matrix is
irrelevant to the system of equations.
Transcribed Image Text:The determinant of a matrix is calculated to be -6. What, if anything, does this mean about the system of equations that the matrix represents? Select one: The set of equations is linearly independent. i. ii. The set of equations is linearly dependent. O i. A mistake was made, the determinant of a matrix can't be negative. O iv. None of the Above O v. The determinant of the matrix is irrelevant to the system of equations.
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