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GATE EE 2018 Set 1 — Question 54

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NAT+2 / -0MediumDeterminantsLinear AlgebraEngineering MathematicsCayley-Hamilton Theorem

Engineering Mathematics → Linear Algebra → Cayley-Hamilton Theorem

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Question

Let A = [10−1−12000−2]\begin{bmatrix} 1 & 0 & -1 \\ -1 & 2 & 0 \\ 0 & 0 & -2 \end{bmatrix} and B=A3−A2−4A+5IB=A^{3}-A^{2}-4A+5I, where I is the 3×33 \times 3 identity matrix. The determinant of B is ________ (up to 1 decimal place).
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