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Which of the following is false? O The determinant of a matrix can be defined recursively. If the determinant of a matrix is zero, the system Ar =0 may or may not have solutions. O The determinant of a matrix contains the product of the diagonal entries of that matrix as one of a sum of terms. If the determinant of a matrix is zero, the null space of that matrix is non-trivial.

Which of the following is false? O The determinant of a matrix can be defined recursively. If the determinant of a matrix is zero, the system Ar =0 may or may not have solutions. O The determinant of a matrix contains the product of the diagonal entries of that matrix as one of a sum of terms. If the determinant of a matrix is zero, the null space of that matrix is non-trivial.

Elementary Linear Algebra (MindTap Course List)
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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Which of the following is false? O The determinant of a matrix can be defined recursively. If the determinant of a matrix is zero, the system AZ = 0 may or may not have solutions. O The determinant of a matrix contains the product of the diagonal entries of that matrix as one of a sum of terms. O If the determinant of a matrix is zero, the null space of that matrix is non-trivial.
Transcribed Image Text:Which of the following is false? O The determinant of a matrix can be defined recursively. If the determinant of a matrix is zero, the system AZ = 0 may or may not have solutions. O The determinant of a matrix contains the product of the diagonal entries of that matrix as one of a sum of terms. O If the determinant of a matrix is zero, the null space of that matrix is non-trivial.
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