Dick said:That looks perfectly ok to me.
A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. It is commonly used in mathematics and computer science to represent data and perform operations on that data.
A matrix is said to be symmetric if it is equal to its own transpose. This means that if you were to reflect the matrix over its main diagonal, the values on either side would be the same.
To determine the symmetry of a matrix, you need to compare the matrix to its transpose. If the values in the matrix and its transpose are the same, then the matrix is symmetric. If they are not the same, then the matrix is not symmetric.
Symmetric matrices have many important properties and applications in mathematics and science. For example, they are commonly used in linear algebra to represent quadratic forms and in mechanics to represent physical systems with symmetric properties.
No, a matrix cannot be both symmetric and non-symmetric. If a matrix is symmetric, it means that it is equal to its own transpose. Therefore, if a matrix is not equal to its transpose, it cannot be symmetric.