If and are matrices such that , then
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2 marks, −0.666666666666667MathematicsMatrices, determinants and linear systemsMatrix identities and Cayley-HamiltonHardabout 4 min
DSE 2017 Question 24: Matrices, determinants and linear systems
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Plain-text version
If A and B are n× n matrices such that A+B=AB, then (A) AB=BA (B) AB≠ BA (C) B=A⁻¹ (D) B=Aᵀ, where Aᵀ is the transpose of A
Also written as: If A and B are n* n matrices such that A+B=AB, then
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What this question tests
This question is on Matrix identities and Cayley-Hamilton, part of Matrices, determinants and linear systems in Mathematics.
Algebraic results about matrix powers, polynomials and special classes.
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