matrice12n

(* somma e differenza matrici *)

A={{-1,4,3},{2,1,6},{-5,1,0}};

B={{2,1,-1},{-3,4,5},{2,2,0}};

MatrixForm[A+B] (* commutativa *)

MatrixForm[B+A] (* commutativa *)

MatrixForm[A-B] (* prima + opposto seconda *)

MatrixForm[B-A] (* prima + opposto seconda *)

MatrixForm[{{1, 5, 2}, {-1, 5, 11}, {-3, 3, 0}}]

;[o]

1 5 2

-1 5 11

-3 3 0

MatrixForm[{{1, 5, 2}, {-1, 5, 11}, {-3, 3, 0}}]

;[o]

1 5 2

-1 5 11

-3 3 0

MatrixForm[{{-3, 3, 4}, {5, -3, 1}, {-7, -1, 0}}]

;[o]

-3 3 4

5 -3 1

-7 -1 0

MatrixForm[{{3, -3, -4}, {-5, 3, -1}, {7, 1, 0}}]

;[o]

3 -3 -4

-5 3 -1

7 1 0

:[font = input; preserveAspect; cellOutline; startGroup; ]

(* prodotto DOT tra matrici *)

MatrixForm[A.B]

MatrixForm[B.A]

MatrixForm[{{-8, 21, 21}, {13, 18, 3}, {-13, -1, 10}}]

;[o]

-8 21 21

13 18 3

-13 -1 10

MatrixForm[{{5, 8, 12}, {-14, -3, 15}, {2, 10, 18}}]

;[o]

5 8 12

-14 -3 15

2 10 18

(* prodotto matrici per costante e somma *)

MatrixForm[3 A+2 B]

MatrixForm[{{1, 14, 7}, {0, 11, 28}, {-11, 7, 0}}]

;[o]

1 14 7

0 11 28

-11 7 0

 

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