>
Exams
>
Mathematics
>
Matrix
>
the matrix a begin bmatrix 2 1 2 1 2 1 2 1 2 end b
Question:
The matrix \( A = \begin{bmatrix} -2 & 1 & 2
1 & 2 & 1
2 & 1 & -2 \end{bmatrix} \) is:
Show Hint
A singular matrix has a zero determinant.
BHU PET - 2019
BHU PET
Updated On:
July 22, 2025
Symmetric
Skew-Symmetric
Singular
Orthogonal
Hide Solution
Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
A matrix is singular if its determinant is zero:
\[ \det(A) = 0 \]
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Matrix
If \( A = \begin{bmatrix} 1 & 0 \\ -1 & 5 \end{bmatrix} \), then find the value of \( K \) if \( A^2 = 6A + K I_2 \), where \( I_2 \) is the identity matrix.
CBSE CLASS XII - 2025
Mathematics
Matrix
View Solution
Find the value of
$x$,
if
\[ \begin{bmatrix} 1 & 3 & 2 \\ 2 & 5 & 1 \\ 15 & 3 & 2 \end{bmatrix} \begin{bmatrix} 1 \\ x \\ 2 \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix} \]
CBSE CLASS XII - 2025
Mathematics
Matrix
View Solution
If \( A = \begin{pmatrix} 1 & -1 \\ 2 & 3 \end{pmatrix} \) is a \( 2 \times 2 \) matrix, then the eigenvalues of the matrix \( 2A^2 - 4A + 5I \) are ______, where \( I \) is the \( 2 \times 2 \) unit matrix.
AP PGECET - 2025
Mathematics
Matrix
View Solution
Let \( A \) be a \(3 \times 3\) matrix and \( B = 2A^2 + A^{-1} - I \), where \( I \) is a \(3 \times 3\) identity matrix. If the eigenvalues of \( A \) are 1, –1 and 2, then the trace of \( B \) is ________
AP PGECET - 2025
Mathematics
Matrix
View Solution
Let \( A = \begin{bmatrix} a+1 & b & c \\ a & b+1 & c \\ a & b & c+1 \end{bmatrix} \). If determinant of the matrix \( A \) is zero, then \( (a + b + c)^3 = \_\_\_\_\_\_ \)
AP PGECET - 2025
Mathematics
Matrix
View Solution
View More Questions
Questions Asked in BHU PET exam
Which of the following is a Hermitian operator?
BHU PET - 2019
Quantum Mechanics
View Solution
Find out the next number in the series 97, 86, 73, 58, 45, (............):
BHU PET - 2019
Number Series
View Solution
In the following Venn diagram, which of the following represents the educated men but not urban?
BHU PET - 2019
Venn Diagrams
View Solution
If a particle is fixed on a rotating frame of reference, the fictitious force acting on the particle will be:
BHU PET - 2019
Rotational motion
View Solution
Given the Bessel function:
$$ J_0(x) = 1 - \frac{x^2}{2^2} + \frac{x^4}{2^2 \cdot 2^2} - \frac{x^6}{2^2 \cdot 2^2 \cdot 2^2} + \dots $$
The Bessel function $ J_1(x) $ is given by:
BHU PET - 2019
Special Functions
View Solution
View More Questions
BHU PET Notification
GMC Azamgarh Admission 2025: Dates, Courses, Fees, Eligibility, Select
July 22, 2025
GMC Azamgarh Admission 2025
Read More