Let be a matrix such that . Which of the following is necessarily true?
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1 mark, −0.333333333333333MathematicsMatrices, determinants and linear systemsMatrix operations and special matricesModerateabout 2 min
DSE 2014 Question 17: Matrices, determinants and linear systems
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Let M be a 3×3 matrix such that M²=M. Which of the following is necessarily true? (A) M is invertible (B) det (M)=0 (C) det (M⁵)=det (M) (D) None of the above
Also written as: Let M be a 3*3 matrix such that M^2=M. Which of the following is necessarily true?
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What this question tests
This question is on Matrix operations and special matrices, part of Matrices, determinants and linear systems in Mathematics.
Adding, multiplying and transposing matrices, and the matrices with special properties.
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