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Class 12 Determinants · Mcq Single Correct1 Markssingularity_and_invertibility

Class 12 Maths · Determinants · Mcq Single Correct #11

Find the full set of real a for which \(\begin{bmatrix}1 & 2 & 1\\2 & 3 & 1\\3 & a & 1\end{bmatrix}\) is nonsingular.

✅ Step-by-Step Solution

Final Answer: Option (D): R∖{4}
  1. Expansion gives det(A)=a−4. It is nonzero precisely for a≠4.

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