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DETERMINANTS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDETERMINANTS1 Mark
Question
If A is a singular matrix, then adj A is.
  1. non−singular
  2. singular
  3. symmetric
  4. not defined
✓

Answer

  1. singular

Solution:

Given  ∣A∣ = 0

We know ∣adjA∣ = ∣A∣ n - 1

∴ ∣adjA∣ = 0

Hence, adj A is singular

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