1
GATE ME 2024
MCQ (Single Correct Answer)
+1
-0.33
Consider the system of linear equations
x + 2y + z = 5
2x + ay + 4z = 12
2x + 4y + 6z = b
The values of a and b such that there exists a non-trivial null space and the system admits infinite solutions are
2
GATE ME 2023
Numerical
+1
-0
A linear transformation maps a point (𝑥, 𝑦) in the plane to the point (𝑥̂, 𝑦̂) according to the rule
𝑥̂ = 3𝑦, 𝑦̂ = 2𝑥.
Then, the disc 𝑥2 + 𝑦2 ≤ 1 gets transformed to a region with an area equal to _________ . (Rounded off to two decimals)
Use π = 3.14.
Your input ____
3
GATE ME 2022 Set 1
MCQ (Single Correct Answer)
+1
-0.33
If A = $\begin{bmatrix} 10 & 2k + 5 \\\ 3k - 3 & k + 5 \end{bmatrix} $ is a symmetric matrix, the value of k is _______.
4
GATE ME 2017 Set 2
Numerical
+1
-0
The determinant of a $$2 \times 2$$ matrix is $$50.$$ If one eigenvalue of the matrix is $$10,$$ the other eigenvalue is __________.
Your input ____
Questions Asked from Marks 1
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GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude