NDA 2025 · PYQ · Matrices / Determinants · medium
Consider the following in respect of a non-singular matrix M:
I. |M²| = |M|²
II. |M| = |M⁻¹|
III. |M| = |Mᵀ|
How many of the above are correct?
- A.None
- B.One
- C.Two✓ Correct
- D.All three
I. |M²| = |M|·|M| = |M|² ✓. II. |M⁻¹| = 1/|M|, not |M| in general ✗. III. |M| = |Mᵀ| ✓ (standard property). So 2 statements are correct.
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