Question:
A. If A and B are two invertible matrices, then (AB)-1 = A-1 B-1
B. Every skew-symmetric matrix of odd order is invertible
C. If A is non-singular matrix, then (AT)-1 = (A-1)T
D. If A is an involutory matrix, then (I+A) (I-A) = 0
E. A diagonal matrix is both an upper triangular and a lower triangular
Choose the correct answer from the options given below :
A. If A and B are two invertible matrices, then (AB)-1 = A-1 B-1
B. Every skew-symmetric matrix of odd order is invertible
C. If A is non-singular matrix, then (AT)-1 = (A-1)T
D. If A is an involutory matrix, then (I+A) (I-A) = 0
E. A diagonal matrix is both an upper triangular and a lower triangular
Choose the correct answer from the options given below :
B. Every skew-symmetric matrix of odd order is invertible
C. If A is non-singular matrix, then (AT)-1 = (A-1)T
D. If A is an involutory matrix, then (I+A) (I-A) = 0
E. A diagonal matrix is both an upper triangular and a lower triangular
Choose the correct answer from the options given below :
Updated On: July 22, 2025
- A, B, C, E only
- B, D, E only
- A, D, E only
- C, D, E only
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The correct answer is(D): C, D, E only
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.
- Find the value of $x$, if \[ \begin{bmatrix} 1 & 3 & 2 \\ 2 & 5 & 1 \\ 15 & 3 & 2 \end{bmatrix} \begin{bmatrix} 1 \\ x \\ 2 \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix} \]
- 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.
- 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 ________
- 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 \( (a + b + c)^3 = \_\_\_\_\_\_ \)
View More Questions
Questions Asked in CUET PG exam
- Which preposition is correct: Chanakya lived ?
- CUET (PG) - 2025
- Prepositions
- Identify the possessive noun: My office car is parked elsewhere.
- What is the one-word synonym for connotation?
- CUET (PG) - 2025
- Synonyms
- What is the antonym of eradicate?
- CUET (PG) - 2025
- Antonyms
- What is the correct verb form: He, as well as his friends, ?
View More Questions
CUET PG Notification
GMC Azamgarh Admission 2025: Dates, Courses, Fees, Eligibility, SelectJuly 22, 2025GMC Azamgarh Admission 2025