Trabalho Proposto Alg Linear

Matrizes:
Soma:
1) B = 4 20 + A = 1 4 S = 5 24 11 20 3 5 14 25

2) A = 1 3 5 + B = 2 4 6 S = 3 7 11 7 9 11 8 10 12 15 19 24 13 15 17 14 16 18 27 31 35

Matrizes Transposta:

1) A = 2 1 At = 2 3 2) A= 7 2 At = 7 8 3 4 1 4 8 1 2 1

Matriz AB = C
Ordem 2x2:
1) A = 3 5 B = 4 4 AB = 17 22 8 10 1 2 42 52

C11 = 3 . 4 + 5 . 1 = 17
C12 = 3 . 4 + 5 . 2 = 22
C21 = 8 . 4 + 10 . 1 = 42
C22 = 8 . 4 + 20 . 2 = 52

2) Ordem 3x3:

A = 1 2 5 B = 2 4 6 C = 39 50 51 4 3 7 1 3 5 18 81 102 6 9 8 7 8 9 71 115 152
C11 = 1.2 + 2.1 + 5.7 = 39
C12 = 1.4 + 2.3 + 5.8 = 50
C13 = 1.6 + 2.5 + 4.9 = 52
C21 = 4.2 + 3.1 + 7.1 = 18
C22 = 4.4 + 3.3 + 7.8 = 81
C23 = 4.6 + 3.5 + 7.9 = 102
C31 = 6.1 + 9.1 + 8.7 = 71
C32 = 6.4 + 9.3 + 8.8 = 115
C33 = 6.6 + 9.5 + 8.9 = 153

Matrizes não quadráticas:

1) A = 4 0 5 B = 1 2 C= 9 8 1 1 3 2 5 6 7 1 0 c11 = 4.1 + 0.2 + 5.1 = 9 c12 = 4.2 + 0.5 + 5.0 = 8 c21 = 1.1 + 1.2 + 3.1 = 6 c22 = 1.2 + 1.5 + 3.0 = 7

2) A = 5 6 8 B = 6 2 C= 62 96 5 3 2 4 9 44 45 1 4 c11 = 5.6 + 6.4 + 8.1 = 62 c12 = 5.2 + 6.9 + 8.4 = 96 c21 = 5.6 + 3.4 + 2.1 = 44 c22 = 5.2 + 3.9 + 2.4 = 45

Determinantes:
1) 2x2
Det A = 2 9 -1 6

Det A = 2 *