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Questions › DSE › DSE 2006 › Q16
1 markMathematics › Matrices, determinants and linear systems › Determinants and their propertiesModerateabout 2 min

DSE 2006 Question 16: Matrices, determinants and linear systems

Consider a singular n×nn\times nn×n matrix AAA with real entries. Interchanging the positions of a pair of adjacent columns of AAA

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Consider a singular n× n matrix A with real entries. Interchanging the positions of a pair of adjacent columns of A (A) does not change the value of the determinant of A (B) changes the sign of the determinant (C) increases the value of the determinant (D) decreases the value of the determinant

Also written as: Consider a singular n* n matrix A with real entries. Interchanging the positions of a pair of adjacent columns of A

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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Question from the DSE 2006 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.