Diagonal Matrix Transformation?

📌 CONCEPT: A diagonal matrix is a square matrix in which all the elements outside the main diagonal are zero.

📐 RULE / FORMULA: The transformation A = D + B results in a matrix A where each element of A is the sum of the corresponding elements of D and B.

💡 WORKED EXAMPLE: Suppose D = [4, 0, 0] [0, 5, 0] [0, 0, 6] and B = [7, 3, 2] [4, 8, 1] [9, 5, 6]. Then, A = D + B will be A = [11, 3, 2] [4, 13, 1] [9, 5, 12].

⚠️ COMMON MISTAKE: Students often forget to follow the rule of matrix addition, where corresponding elements are added to form a new matrix. They might mistakenly add the matrices row-wise or column-wise, rather than following the rule of matrix addition.