Question

ajudem-mee por favor​

Answer 1

Explicação passo-a-passo:

a)

$\binom{1 \: \: 2}{1 \: \: 3} + \binom{a \: \: b}{c \: \: d} = \binom{1 \: \: 0}{0 \: \: 1}$

1 + a = 1 --> a = 0

2 + b = 0 --> b = - 2

1 + c = 1 --> c = 0

3 + d = 1 --> b = - 2

B =

$\binom{0 \: \: - 2}{0 \: \: - 2}$

b)

$\binom{1 \: \: 2}{1 \: \: 3} . \binom{a \: \: b}{c \: \: d} = \binom{1 \: \: 0}{0 \: \: 1}$

a11: a + 2c = 1

a12: b + 2d = 0

a21: a + 3c = 0

a22: b + 3d = 1

$\binom{a + 2c \: \: b + 2d}{a + 3c \: \: b + 3d} = \binom{1 \: \: 0}{0 \: \: 1}$

b + 2d = 0 --> d = - b/2

b + 3d = 1 --> - b/2 = 1 --> b = - 2

d = 1

a + 3c = 0 --> c = - a/3

a + 2c = 1 --> a/3 = 1 --> a = 3

c = - 1

A^-1 =

$\binom{3 \: \: - 2}{ - 1 \: \: 1}$

Espero ter ajudado.