Suppose and are square matrices that satisfy , where is a square matrix of zeros. Then it must be that
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DSE 2011 Question 26: Matrices, determinants and linear systems
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Suppose A and B are square matrices that satisfy AB+BA=0, where 0 is a square matrix of zeros. Then it must be that (A) A²B³=B³A² (B) A²B³=B²A³ (C) A²B³=BA⁴ (D) None of the above is necessarily true.
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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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