Symmetric matrix: A symmetric matrix is defined as

A symmetric matrix is defined as a square matrix that is equal to its transpose. A symmetric matrix can A can therefore satisfies the condition, A = A^T. Understand the symmetric matrices using theorems and examples. Symmetric matrices and their properties are presented along with examples including their detailed solutions. Symmetric matrices have use cases in optimization, physics, and statistics, whereas skew- symmetric matrices are used in subjects such as mechanics and electromagnetism. Symmetric Matrix If for a matrix , the transposed form of that matrix is the same as the original matrix , then that matrix is said to be a Symmetric Matrix . Symmetric matrix is identified as a square matrix that is equivalent to its transpose matrix . The transpose matrix of any assigned matrix say X, can be written as XT X T. A symmetric matrix Y can accordingly be represented as, Y = YT Y = Y T. With all the various classes of matrices , symmetric matrices are one of the most prominent ones that are extensively used in machine learning. A matrix is depicted as an array of numbers (real or complex) that are arranged in rows (horizontal lines) and ...