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DETERMINANTS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDETERMINANTS1 Mark
MCQ
If $\begin{bmatrix}\text{x} &\text{amp; } 1 &\text{amp; 1}\\ 2 &\text{amp; 3} &\text{amp; 4}\\ 1 &\text{amp; 1} &\text{amp; 1}\end{bmatrix}$ has no inverse, then $\text{x}=$
  • A
    -4
  • B
    -2
  • ✓
    1
  • D
    -3
✓

Answer

Correct option: C.
1
We know that, If Dett = 0 there is no inverse

⇒ D = x(3 - 4) - 1(2 - 4) + 1(2 - 3) = 0

⇒ -x + 2 - 1 = 0

⇒ x = 1

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