Question

Sendo as matrizes a seguir, calcule: 2det.A + 3det.B –2

Answer 1

det(A) = (3.3.3 + 2.3.4 + 4.2.2) - (4.3.4 + 2.3.3 + 3.2.2)

det(A) = (27 + 24 + 16) - (48 + 18 + 12)

det(A) = (67) - (78)

det(A) = -11

det(B) = (2.4.2 + 4.5.4 + 3.3.1) - (4.4.3 + 1.5.2 + 2.3.4)

det(B) = (16 + 80 + 9) - (48 + 10 + 24)

det(B) = 105 - 82

det(B) = 23

2.det(A) + 3.det(B) - 2

2 . (-11) + 3 . (23) - 2

-22 + 69 - 2

45

LETRA A