>
Exams
>
Mathematics
>
Matrices
>
if a is a square matrix of order 3 3 such that a 2
Question:
If, A is a square matrix of order
\(3 \times 3\)
such that
\(A^2 = A\)
and I is the unit matrix of order
\(3 \times 3\)
, then the value of
\((I-A)^3+A^2+I\)
is:
CUET (UG) - 2023
CUET (UG)
Updated On:
May 18, 2024
0
I
2I
4I
Hide Solution
Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
The correct option is (C): 2I
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Matrices
Four friends Abhay, Bina, Chhaya, and Devesh were asked to simplify \( 4 AB + 3(AB + BA) - 4 BA \), where \( A \) and \( B \) are both matrices of order \( 2 \times 2 \). It is known that \( A \neq B \) and \( A^{-1} \neq B \). Their answers are given as:
CBSE CLASS XII - 2025
Mathematics
Matrices
View Solution
Given
\[ A = \begin{bmatrix} -4 & 4 & 4 \\ -7 & 1 & 3 \\ 5 & -3 & -1 \end{bmatrix}, \quad B = \begin{bmatrix} 1 & -1 & 1 \\ 1 & -2 & -2 \\ 2 & 1 & 3 \end{bmatrix} \] find \( AB \). Hence, solve the system of linear equations: \[ x - y + z = 4, \] \[ x - 2y - 2z = 9, \] \[ 2x + y + 3z = 1. \]
CBSE CLASS XII - 2025
Mathematics
Matrices
View Solution
If
\[ A = \begin{bmatrix} 1 & 2 & 0 \\ -2 & -1 & -2 \\ 0 & -1 & 1 \end{bmatrix} \] then find \( A^{-1} \). Hence, solve the system of linear equations: \[ x - 2y = 10, \] \[ 2x - y - z = 8, \] \[ -2y + z = 7. \]
CBSE CLASS XII - 2025
Mathematics
Matrices
View Solution
Assertion (A):
\( A = \text{diag} [3, 5, 2] \) is a scalar matrix of order \( 3 \times 3 \).
Reason (R):
If a diagonal matrix has all non-zero elements equal, it is known as a scalar matrix.
CBSE CLASS XII - 2025
Mathematics
Matrices
View Solution
If \( A \) and \( B \) are square matrices of order \( m \) such that \( A^2 - B^2 = (A - B)(A + B) \), then which of the following is always correct?
CBSE CLASS XII - 2025
Mathematics
Matrices
View Solution
View More Questions
Questions Asked in CUET exam
Match List-I with List-II:
List-I
List-II
A
Megaliths
(I)
Decipherment of Brahmi and Kharoshti
B
James Princep
(II)
Emerged in first millennium BCE
C
Piyadassi
(III)
Means pleasant to behold
D
Epigraphy
(IV)
Study of inscriptions
Choose the correct answer from the options given below:
CUET (UG) - 2024
Political and Economic History
View Solution
From the given options, which pass connects Jammu with Srinagar?
CUET (UG) - 2024
Static GK
View Solution
In a square, the lengths of the diagonals are $(4k + 6)$ cm and $(7k - 3)$ cm. What is the area of the square (in cm²)?
CUET (UG) - 2024
Geometry
View Solution
A molecule X associates in a given solvent as per the following equation:
X ⇌ (X)
n
For a given concentration of X, the van’t Hoff factor was found to be 0.80 and the
fraction of associated molecules was 0.3. The correct value of ‘n’ is:
CUET (UG) - 2024
Solutions
View Solution
Find out which of the answer figures completes the figure matrix :
CUET (UG) - 2024
Image Based
View Solution
View More Questions