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Senior's Classroom, 1 ApomoN OF MATRICES ở, - A+ B = [a;; + bj ], where A & B are, Laij + b;; , where A & B are, Same Qudere., a, az, C, C2, a, + C,, a,+C2, b, b,, d, dz, just adding comess, ponding elements, TROPER, (a) Addition of matuices 2s commutatire., A +B = B+A, (b) Matrix addition is associative, (A+B)+C = A+(B+e), () Additive Inverse, A +B =0 =B+ A,, then B is ddditive inverse of A., What is, O?, All the zero Mtrices, f dny order can be, written as O, (d) Existence of additive Identity, A+O=0+A=A, o Is additive identity, Here,, order fo, Order of A, Senior's

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2 MULTIPLICATION OF MATRIX BY A SCALAR, (2), %3D, mxn, mxn, a, az, K a, Kaz, b, b,, K b, K bz, mulipying cach ☆, every, element by, that Scalar ", PROPERTIES =, (a) K (A+B) = KA + KB, (6) (k + l) A = KA + LA, U NEGATIVE OF MATRIX A, =-A, (-1)-A, A-B = A +(-1)B, %3D, What is, txdce of a, Matix ?, Sum of all the, diagonal elements, in° the matx u, its "Trace" ., Senior's Classroom