Let L, M, and N be non-singular matrices of order 3 satisfying the equations…

GATE · 2025 · CS · Set 2 · Computer Science & IT

Let L, M, and N be non-singular matrices of order 3 satisfying the equations L² = L⁻¹, M = L⁸ and N = L².

Which ONE of the following is the value of the determinant of (M − N)?

  1. A.

    0

  2. B.

    1

  3. C.

    2

  4. D.

    3

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