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DETERMINANTS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSDETERMINANTS1 Mark
Question
If A is a singular matrix, then A (adj A) is a.
  1. scalar matrix
  2. zero matrix
  3. identity matrix
  4. orthogonal matrix
✓

Answer

  1. zero matrix
Solution:
Given A is a singular matrix.
⇒ ∣A∣ = 0
A(adjA) = ∣A∣ I = 0I = O
∴ A(adjA) is a zero matrix.

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