>
Exams
>
Mathematics
>
Matrix
>
if a is a square matrix such that a 2 a then i a 3
Question:
If A is a square matrix such that $A^2 = A$, then $(I + A)^3 $is equal to
KCET
Updated On:
Apr 26, 2024
7A-I
7A
7A+I
I-7A
Hide Solution
Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
The correct answer is Option (C) : 7A+I
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Matrix
Consider the 3 × 3 matrix M =
\(\begin{bmatrix} 1 & 2 & 3 \\ 3 & 1 & 3 \\ 4 & 3 & 6 \end{bmatrix}.\)
The determinant of (M
2
+ 12M) is ________.
GATE AR - 2024
Data Science and Artificial Intelligence
Matrix
View Solution
Let $A = \begin{bmatrix} 2 & -1 \\ 1 & 1 \end{bmatrix}$. If the sum of the diagonal elements of $A^{13}$ is $3^n$, then $n$ is equal to _____.
JEE Main - 2024
Mathematics
Matrix
View Solution
Let A be a square matrix such that
\(AA^T=I\)
.Then
\(\frac{1}{2}A[(A+A^T)^2+(A-A^T)^2]\)
is equal to
JEE Main - 2024
Mathematics
Matrix
View Solution
Let
\(u=\begin{bmatrix} 1 \\ 2 \\ 3 \\ 4 \\ 5 \end{bmatrix}\)
, and let σ
1
, σ
2
, σ
3
, σ
4
, σ
5
be the singular values of the matrix M= uu
T
(where u
T
is the transpose of u).The value of
\(Σ^{5}_{i=1}σ_i\)
is
GATE AR - 2024
Data Science and Artificial Intelligence
Matrix
View Solution
In a two-player game, player 1 can choose either M or N as strategies. Player 2 can choose either X, Y, or Z as strategies. The payoff matrix is as follows:
a
X
Y
Z
M
3, 1
0, 0
−1, 2
N
0, 0
1, 3
0.5, 1
Which set of strategy profiles survives iterated elimination of strictly dominated strategies?
IIT JAM EN - 2024
Mathematics for Economy
Matrix
View Solution
View More Questions
Questions Asked in KCET exam
Ten identical cells each emf 2V and internal resistance 1Ω are connected in series with two cells wrongly connected. A resistor of 10Ω is connected to the combination. What is the current through the resistor?
KCET - 2023
Cells in Series and in Parallel
View Solution
The speed of sound in an ideal gas at a given temperature T is v. The rms speed of gas molecules at that temperature is v
rms
. The ratio of the velocities v and v
rms
for helium and oxygen gases are X and X' respectively. Then
\(\frac{X}{X'}\)
is equal to
KCET - 2023
Thermodynamics
View Solution
If
\(p(\frac{1}{q}+\frac{1}{r}),q(\frac{1}{r}+\frac{1}{p}),r(\frac{1}{p}+\frac{1}{q})\)
are in A.P., then p, q, r
KCET - 2023
Arithmetic Progression
View Solution
A stretched wire of a material whose Young's modulus Y = 2 × 10
11
Nm
-2
has Poisson's ratio of 0.25. Its lateral strain ε
l
= 10
-3
. The elastic energy density of the wire is
KCET - 2023
mechanical properties of solids
View Solution
A metallic rod of length 1 m held along east-west direction is allowed to fall down freely. Given horizontal component of earth’s magnetic field B
H
= 3 × 10
-5
T. The emf induced in the rod at an instant t = 2s after it is released is ( Take g = 10 ms
-2
)
KCET - 2023
Faradays laws of induction
View Solution
View More Questions