Allied mathematics
๐ฒ ๐ฆ ๐น ๐ท ๐ฎ ๐ฝ : Matrix is an arrangement of Elements (Number) in row and columns. The numbers are enclosed by parentheses or brackets or double bars. Example: A=( 1 5 9 3 7 6 5 14 19 ) B=[ 0 15 −3 32 7 41 ] C=‖ 13 16 23 50‖ Properties of Matrix Addition of Matrices: (i) Commutative If A and B are Matrices of the same order. A+B=B+A (ii) Associative If A, B and C are Matrices of the same order. (A+B)+C=A+(B+C) (iii) Distributive with respect to scalar: K(A+B)=KA+KB (iv) Existence of inverse: -A is the additive inverse of A A+(-A)=0=(-A)+A (v) Cancellation law: If A, B and C are Matrices of the same order, A+C=B+C implies A=B. ADDITION OF MATRIC...
