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GATE 2019 CE (CE2) – Question 11

Engineering Mathematics · Linear Algebra: Matrix algebra, systems of linear equations, eigenvalues and eigenvectors · 1 mark · Multiple choice

Find the Euclidean norm of $$\begin{bmatrix}4\\-2\\-6\end{bmatrix}.$$

  1. $\sqrt{12}$
  2. $\sqrt{24}$
  3. $\sqrt{48}$
  4. $\sqrt{56}$

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Correct answer: (D) $\sqrt{56}$

Explanation

The squared norm is $4^2+(-2)^2+(-6)^2=56$. Taking the positive square root gives **√56, D**.