Let A be a square matrix of order n and let B = k.A where k is a real number. Considering that |X| denotes determinant of a square matrix X, which of the following is true?
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1 mark, −0.33MathematicsMatrices, determinants and linear systemsDeterminants and their propertiesModerateabout 1 min
UoH 2014 Question 54: Matrices, determinants and linear systems
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Let A be a square matrix of order n and let B = k.A where k is a real number. Considering that | X | denotes determinant of a square matrix X, which of the following is true? (A) |B| = |A| (B) |B| = k|A| (C) |B| = kⁿ|A| (D) |B| = (k/n)|A|
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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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