Matrices addition is a mathematical operation that involves adding two matrices of the same size element-wise. Given two matrices A and B, the sum C=A+B is obtained by adding the corresponding elements of A and B: C(i,j) = A(i,j) + B(i,j) where C(i,j), A(i,j), and B(i,j) are the elements located at the i-th row and…
Two matrices are said to be equal if they have the same dimensions and their corresponding entries are equal. In other words, if A = [aij] and B = [bij] are two matrices of the same size, then A and B are equal if and only if aij = bij for all i and j.…
A matrix is a rectangular array of numbers, which can be real numbers, complex numbers, or even other mathematical objects such as polynomials. In the case of matrices consisting of real numbers, each entry in the matrix is a real number. A matrix can be represented as a rectangular array of numbers enclosed by brackets.…