Math, asked by rohithkrhoypuc1, 1 month ago

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Answered by aanjalikrialokraj
54

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.

Answered by kamalhajare543
13

Question

1. Define symmetric matrix.

2. Define skew symmetric matrix

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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.

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