Consider a matrix . Obtain from by, in sequence, (1) interchanging the first and fourth columns, then (2) interchanging the second and fourth rows. Then
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4 marks, −1MathematicsMatrices, determinants and linear systemsDeterminants and their propertiesEasyabout 2 min
DSE 2020 Question 45: Matrices, determinants and linear systems
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Consider a 4× 4 matrix A. Obtain B from A by, in sequence, (1) interchanging the first and fourth columns, then (2) interchanging the second and fourth rows. Then (A) det A=det B (B) det A≠det B (C) det B≤ 0 (D) det B>0
Also written as: Consider a 4* 4 matrix A. Obtain B from A by, in sequence, (1) interchanging the first and fourth columns, then (2) interchanging the second and fourth rows. Then
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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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