>
Exams
>
Mathematics
>
Matrices
>
let a bmatrix 2 3 1 bmatrix then the matrix b that
Question:
Let A =
\(\begin{bmatrix}2&3\\4&-1\end{bmatrix}\)
then the matrix B that represents the linear operator A relative to the basis
S = {
\(u_1,u_2\)
}=
\({[1, 3]^T, [2, 5]^T}\)
, is:
CUET (PG) - 2023
CUET (PG)
Updated On:
Mar 21, 2024
\(\begin{bmatrix}53&89\\32&54\end{bmatrix}\)
\(\begin{bmatrix}-53&-89\\32&54\end{bmatrix}\)
\(\begin{bmatrix}53&55\\98&23\end{bmatrix}\)
\(\begin{bmatrix}53&-23\\89&45\end{bmatrix}\)
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
The correct option is(B)
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Matrices
If
\(A = \begin{bmatrix} 3 & 2 \\ -1 & 1 \end{bmatrix} \quad \text{and} \quad B = \begin{bmatrix} -1 & 0 \\ 2 & 5 \\ 3 & 4 \end{bmatrix},\)
then \((BA)^T\) is equal to:
CUET (UG) - 2024
Mathematics
Matrices
View Solution
If \( A = \begin{bmatrix} K & 4 \\ 4 & K \end{bmatrix} \) and \( |A^3| = 729 \), then the value of \( K^8 \) is:
CUET (UG) - 2024
Mathematics
Matrices
View Solution
Let $A$ be a matrix such that $A^2 = I$, where $I$ is an identity matrix. Then $(I + A)^4 - 8A$ is equal to:
CUET (UG) - 2024
Mathematics
Matrices
View Solution
Let $A = I_2 - MM^T$, where $M$ is a real matrix of order $2 \times 1$ such that the relation $M^T M = I_1$ holds. If $\lambda$ is a real number such that the relation $AX = \lambda X$ holds for some non-zero real matrix $X$ of order $2 \times 1$, then the sum of squares of all possible values of $\lambda$ is equal to:
JEE Main - 2024
Mathematics
Matrices
View Solution
Let the system of equations \[x + 2y + 3z = 5, \quad 2x + 3y + z = 9, \quad 4x + 3y + \lambda z = \mu\]have an infinite number of solutions. Then $\lambda + 2\mu$ is equal to:
JEE Main - 2024
Mathematics
Matrices
View Solution
View More Questions
Questions Asked in CUET PG exam
Find out the degree of the differential equation
\(\frac {d^2t}{ds^2}+(\frac {dt}{ds})^2+2t=0\)
CUET (PG) - 2023
Differential Equations
View Solution
The surface area of the sphere x
2
+ y
2
+ z
2
= 9 lying inside the cylinder x
2
+ y
2
= 3y is
CUET (PG) - 2023
Surface Area of Cube, Cuboid and Cylinder
View Solution
The Ombudsman in a newspaper organisation represents the point of view of the ___.
CUET (PG) - 2023
Journalism
View Solution
The orthogonal trajectories of the family of curves y =
\(ax^3\)
is
CUET (PG) - 2023
Curves
View Solution
The minimum distance of the point (3, 4, 12) from the sphere x
2
+ y
2
+ z
2
= 1 is
CUET (PG) - 2023
Coordinate Geometry
View Solution
View More Questions