Question

what is skew symmetric matrix and what is symetric matrix​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Symmetric Matrix

• A square matrix A is said to be symmetric if A' = A.

• Here, A' denotes the transpose of matrix A.

• If A is symmetric, then $\bold{a_{ji}=a_{ij}}$

Skew - Symmetric Matrix

• A square matrix A is said to be skew - symmetrica if, A' = -A.

• If A is skew - symmetric , then $\bold{a_{ji}=-a_{ij}}$.

• Also, every diagonal element of a skew - Symmetric Matrix is zero.

• This is because,

• $<=>a_{ii}=-a_{ii}\\\\<=>2a_{ii}=0\\\\<=>a_{ii}=0$