IIT-JEE Advanced 2022 Maths Paper 2 Problem 6

Problem

Let β be a real number. Consider the matrix A = \( \begin{bmatrix} \beta & 0 & 1 \\ 2 & 1 & -2 \\ 3 & 1 & -2 \ \end{bmatrix} \)

If A⁷ − (β − 1)A⁶ − βA⁵ is a singular matrix, then find the value of 9β.

Solution

Comments

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