Consider an real matrix A with . Interchanging the positions of two columns
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DSE 2008 Question 19: Matrices, determinants and linear systems
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Consider an n× n real matrix A with n>4. Interchanging the positions of two columns (A) will change the sign of det A (B) will not change the sign of det A (C) may or may not change the sign of det A, depending on the value of n (D) may or may not change the sign of det A, depending on the positions of the two columns
Also written as: Consider an n* n real matrix A with n>4. Interchanging the positions of two columns
Matrices, determinants and linear systems has come up 102 times in 7 exams since 2006.
What this question tests
This question is on Determinants and their properties, part of Matrices, determinants and linear systems in Mathematics.
Computing determinants and how row and column operations change them.
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