Let . Then equals:
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0 marksMathematicsMatrices, determinants and linear systemsMatrix identities and Cayley-HamiltonModerateabout 2 min
DSE 2019 Question 26: Matrices, determinants and linear systems
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Plain-text version
Let A=[1 1; 1 3]. Then A⁴-4A³+2A²+A equals: (A) I (the 2× 2 identity matrix) (B) I+A (C) A (D) A⁻¹
Also written as: Let A=[1 1; 1 3]. Then A^4-4A^3+2A^2+A equals:
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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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