Question
Mathematics Question on types of matrices
Which of the following statement is not correct?
A
If A and B are non-singular matrices, then (AB) is also a non-singular matrix.
B
If AB = AC and A is non-singular matrix, then B = C.
C
The inverse of a non-singular symmetric matrix is also a symmetric matrix.
D
If A and B are symmetric matrices, then (AB-BA) is not a skew-symmetric matrix.
Answer
If A and B are symmetric matrices, then (AB-BA) is not a skew-symmetric matrix.
Explanation
Solution
The correct answer is(D): If A and B are symmetric matrices, then (AB-BA) is not a skew-symmetric matrix.