Special Matrices (Identity And Null)

p {margin: 0; padding: 0;} No Date Special Matrices (identity & Null) 1) Identity Matrix is a square matrix with ones along the diagonal and teros everywhere else. Similar to scalar "1". 2) Null Marrix is one in which all elements are zero Similar to scaler o 3) Both are diagonal matrices off-diagon-1 elements are zero 4) Both are symmetric and examples of idempolent matrices That is, A.A and A=A2 = As= Laws of Matrix Addition & Multiplication 1) Commutative low of Matrix Addition A+B = B + A A+B = a air + by bia = au+bl 612 + 12 a2, an by, bu az+by b22 + an B+A = bn his + a an = bu + an b12+112 hz ber b2 his by t ar Hzz + an 2) Matnx Multiplication is distributive accross Additions : A (B+c) = AB + AC (assuming conformability applies)