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DETERMINANTS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSDETERMINANTS1 Mark
Question
Evaluate $\begin{bmatrix}\text{i}&-1\\-1&\text{i}\end{bmatrix}$
  1. 4
  2. 3
  3. 2
  4. 0
✓

Answer

  1. 0
Solution:
Expanding along $\text{R}_1,$ we get.
$\triangle=\text{-i}(\text{i})-(-1)(-1)=-\text{i}^2-1=-(-1)-1=0.$

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