>
Exams
>
Engineering Mathematics
>
Systems of linear equations
>
consider a matrix a begin pmatrix 5 a 2 2 end pmat
Question:
Consider a matrix \( A = \begin{pmatrix} -5 & a \\ -2 & -2 \end{pmatrix} \), where \( a \) is a constant. If the eigenvalues of \( A \) are \(-1\) and \(-6\), then the value of \( a \), rounded off to the nearest integer, is ___
GATE CH - 2024
GATE CH
Updated On:
Jul 17, 2024
Hide Solution
Verified By Collegedunia
Correct Answer:
-2
Solution and Explanation
The correct Answers is :-2 or 2 Approx
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Systems of linear equations
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
GATE ME - 2024
Engineering Mathematics
Systems of linear equations
View Solution
The digit in the unit’s place of the product $3^{999} \times 7^{1000}$ is __________.
GATE ES - 2023
Mathematics Foundation
Systems of linear equations
View Solution
Eigenvalues of the matrix $\begin{bmatrix}0 & 1 \\ -2 & 3 \end{bmatrix}$ are
GATE ES - 2022
Mathematics Foundation
Systems of linear equations
View Solution
The system of linear equations in real \( (x, y) \) given by
\[ \begin{pmatrix} x \\ y \end{pmatrix} \begin{pmatrix} 2 & 5 - 2\alpha \\ \alpha & 1 \end{pmatrix} = \begin{pmatrix} 0 \\ 0 \end{pmatrix} \]
involves a real parameter \( \alpha \) and has infinitely many non-trivial solutions for special value(s) of \( \alpha \). Which one or more among the following options is/are non-trivial solution(s) of \( (x, y) \) for such special value(s) of \( \alpha \)?
GATE ME - 2022
Engineering Mathematics
Systems of linear equations
View Solution
The limit
\[ p = \lim_{x \to \pi} \left( \frac{x^2 + \alpha x + 2\pi^2}{x - \pi + 2 \sin x} \right) \]
has a finite value for a real \( \alpha \). The value of \( \alpha \) and the corresponding limit \( p \) are
GATE ME - 2022
Engineering Mathematics
Systems of linear equations
View Solution
View All
Questions Asked in GATE CH exam
A PID controller consists of:
GATE CH - 2026
Process Control
View Solution
Which law is used to describe steady-state diffusion in gases?
GATE CH - 2026
Mass Transfer
View Solution
For an ideal gas, internal energy is a function of:
GATE CH - 2026
Thermodynamics
View Solution
Flow is said to be laminar when the Reynolds number is:
GATE CH - 2026
Fluid Mechanics
View Solution
In distillation, relative volatility is a measure of:
GATE CH - 2026
Thermodynamics
View Solution
View More Questions