Question

Answer the question which is in attachment
•Brainly moderators
•Brainly stars
•other best users ​

Answer 1

Answer:

4.) A symmetric matrix and skew-symmetric matrix both are square matrices. But the difference between them is, the symmetric matrix is equal to its transpose whereas skew-symmetric matrix is a matrix whose transpose is equal to its negative.

5.) A matrix can be skew symmetric only if it is square. If the transpose of a matrix is equal to the negative of itself, the matrix is said to be skew symmetric.

Answer 2

Question

1. Define symmetric matrix.

2. Define skew symmetric matrix

$\: \:$

Answer:

1. symmetric matrix is a square matrix that is equal to its transpose. Formally, Because equal matrices have equal dimensions, only square matrices can be symmetric. The entries of a symmetric matrix are symmetric with respect to the main diagonal.

2. linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose equals its negative.

please drop me some thanks