1
GATE EE 2026
Numerical
+1
-0
A is an $m \times m$ skew-symmetric matrix with real-valued entries, and $x$ is an $m$-dimensional column vector with real-valued entries such that $x^T x=1$. The quantity $x^T A x$ evaluates to $\_\_\_\_$ . (Answer in integer)
Your input ____
2
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33
The relationship between two variables $x$ and $y$ is given by $x+p y+q=0$ and is shown in the figure. Find the values of $p$ and $q$.
Note: The figure shown is representative.

3
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33
Let $v_1$ and $v_2$ be the two eigen vectors corresponding to distinct eigen values of a $3 \times 3$ real symmetric matrix. Which one of the following statements is true?
4
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33
Let $A=\left[\begin{array}{ccc}1 & 1 & 1 \\ -1 & -1 & -1 \\ 0 & 1 & -1\end{array}\right]$ and $b=\left[\begin{array}{c}1 / 3 \\ -1 / 3 \\ 0\end{array}\right]$, then the system of linear equations $A x=b$ has
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