Metallurgical Engineering > GATE 2024 > Linear Algebra
Which of the following statements is/are correct for a square matrix A with real number entries?
AT denotes the transpose of A and A-1 denotes the inverse of A.
A
A is symmetric if AT = -A.
B
A is skew-symmetric if AT = -A.
C
If A is orthogonal, then AT = A-1.
D
If A is orthogonal, then its determinant is zero.

Correct : b,c

Similar Questions

where x, y are not identically zero, then the values of λ are _______.
#44 MCQ
The sum of eigen values of the matrix
#103 Fill in the Blanks
For the equation the value of x is _______ (in integer).
#127 Fill in the Blanks

Related Topics

matrix transpose orthogonal matrix skew symmetric matrix symmetric matrix determinant orthogonal matrix metallurgical engineering gate 2024 matrix inverse GATE metallurgical engineering 2024

Unique Visitor Count

Total Unique Visitors

Loading......

Question Options

Contributed by: