Explain in Detail :Elementary Operation of Matrix Rules
The elementary matrix operations are matrix addition, matrix multiplication, and matrix inversion.
Matrix addition is the simplest operation. Two matrices can be added together if and only if they have the same number of rows and columns. The resulting matrix is the sum of the two matrices, with each entry being the sum of the corresponding entries in the two matrices.
Matrix multiplication is a bit more complicated. Two matrices can be multiplied together if and only if they have the same number of rows and columns, and the matrices must be conformable, which means that the number of columns in the first matrix must be the same as the number of rows in the second matrix. The product of the two matrices is the matrix formed by multiplying the corresponding entries in the two matrices.
Matrix inversion is the most complicated operation. It is only possible to invert a matrix if it is square and nonsingular, which means that the matrix has an inverse matrix if and only if the determinant of the matrix is not zero. The inverse matrix is the matrix formed by reversing the sign of the determinant of the original matrix.
