Question

Dada a matriz A =(1-20-1) determine a matriz B =2a

Answer 1

Resposta:

A = \begin{gathered} \left[\begin{array}{ccc}1&1\\2&3\end{array}\right] \end{gathered}

[

1

2

1

3

]

. \begin{gathered} \left[\begin{array}{ccc}a&b\\c&d\end{array}\right] \end{gathered}

[

a

c

b

d

]

. \begin{gathered} \left[\begin{array}{ccc}1&0\\0&1\end{array}\right] \end{gathered}

[

1

0

0

1

]

a+c=1 b+d=0

2a+3c=0 2b+3d=1

a+c=1

a=1-c a=1-c

2.(10-c)+c=1 a=1-19

20-2c+c=1 a=-18

-c=1-20

c=19

b+d=0

b=-d b=-d

2b+3d=1 b=-1

2.-d+3d=1

-2d+3d=1

d=1

Matriz inversa de A é: \begin{gathered} \left[\begin{array}{ccc}-18&-1\\19&1\end{array}\right] \end{gathered}

[

−18

19

−1

1

]

Explicação:

espero ter ajudado