An invertible matrix must be a square matrix: The formula is: B = A−1 Non-square matrices (m-by-n matrices for which m ≠ n}}) do not have an inverse, but can in sometimes have a left inverse or right inverse.Continue Reading
Four possible perspectives(ways) to produce matrix multiplications(which give the same result): Ordered Collection of Dot Products (result matrix is built elementwise): Left matrix is rows, right matrix is columns. Each element is the dot product of a corresponding row from the left matrix and the column from the right matrix.Continue Reading
A square matrix that is not invertible is called singular or degenerate. A square matrix is singular if and only if its determinant is 0. The easiest way to compute the inverse of a matrix is using the formula of RREF, where you augment the matrix with it’s identity andContinue Reading
Rank is a single non-negative integer number that represents the number of dimensions of information in the matrix, and is a property of the whole matrix not specifically columns or rows. The dimensions of information is the number of linear independent rows or columns in the matrix. The maximum rankContinue Reading