Consider an matrix A with real entries. If matrix B is derived by adding the first column of A to the last column of A, then
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1 markMathematicsMatrices, determinants and linear systemsDeterminants and their propertiesModerateabout 2 min
DSE 2007 Question 12: Matrices, determinants and linear systems
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Consider an n× n matrix A with real entries. If matrix B is derived by adding the first column of A to the last column of A, then (A) det A<det B (B) det A>det B (C) det A=det B (D) the sign of det A is the opposite of the sign of det B
Also written as: Consider an n* n matrix A with real entries. If matrix B is derived by adding the first column of A to the last column of A, then
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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