What is an orthogonal matrix? A square matrix is said to be an orthogonal matrix if the following condition holds true: $latex AA^T=A^TA=I $ Now, we know that, if A and B are two matrices such that the following condition holds true $latex AB=I \\ B=A^{-1} $ then, B...

What is an augmented matrix? An augmented matrix is a matrix that is obtained by appending the columns of two given matrices. Let’s say we are given two matrices A and B. A is an mxn matrix and B is a mxp matrix. Now, we can append the columns of B after the columns...

What is a skew symmetric matrix? A skew symmetric matrix is a square matrix that is negative of its own transpose. In other words, if A is a square matrix, then A is a skew symmetric matrix if and only if the following condition holds true: $latex A=-A^T $ Now, we...

What is a symmetric matrix? Let’s say A is a square matrix and the element in the ith row and jth column of A is Ai,j. The square matrix A is a symmetric matrix if and only if the following condition holds true: $latex A=A^T $ Now, we know that, if AT is the transpose...