GATE 2022 PI – Question 23

Engineering Mathematics · Linear Algebra · 1 mark · Numerical answer

$A=\begin{pmatrix}3\\2\end{pmatrix}\begin{pmatrix}1&4\end{pmatrix}$. Find det(A), rounded to nearest integer.

Show answer and explanation

Correct answer: 0 to 0

Explanation

$A=\begin{pmatrix}3&12\\2&8\end{pmatrix}$, so determinant is 3×8−12×2 = **0**. Equivalently, this outer product has rank one.

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