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Solution


Q.

Let A be a square matrix of order 2 such that |A| = 2 and the sum of its diagonal elements is –3. If the points (x, y) satisfying A2 + xA + yI = O lie on a hyperbola, whose transverse axis is parallel to the x-axis, eccentricity is e and the length of the latus rectum is l, then e4+l4 is equal to ___________.          [2024]

Ans.

(*)

The given data is inadequate.