For an n x n matrix A which of the following statement(s) is (are) true? (a) Cofactor C31 cannot be equal to minor A31- (b) If C₁₁ C12 = C13 = ... = (c) If Ax=0 has trivial solution then det A=0. H Only b is true Only a is true a and c are true Only c is true None of them is true Cin=0, then A is invertible.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
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For an n x n matrix A which of the following statement(s) is (are) true ?
(a) Cofactor C31 cannot be equal to minor A31-
(b) If C₁₁ = C12 Cia=...= Cin=0, then A is invertible.
(c) If Ax=0 has trivial solution then det A=0.
Only b is true
Only a is true
a and c are true
Only c is true
None of them is true
Transcribed Image Text:For an n x n matrix A which of the following statement(s) is (are) true ? (a) Cofactor C31 cannot be equal to minor A31- (b) If C₁₁ = C12 Cia=...= Cin=0, then A is invertible. (c) If Ax=0 has trivial solution then det A=0. Only b is true Only a is true a and c are true Only c is true None of them is true
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