Question

2) Dada a matriz A = 2 4 13
a) det A
b) det A2
c) det A-1
, calcule:

Answer 1

Resposta:

Letra B)

mil desculpas se estiver errado

Answer 2

Resposta passo-a-passo:

2) Dada a matriz $A = \left[\begin{array}{ccc}2&4\\1&3\end{array}\right]$  , calcule:

a) det(A)

b) det(A2 )

c) det(A-1)

a)

$det(A)=2\times3-4\times1=2$

b)

$2A = 2 \times \left[\begin{array}{ccc}2&4\\1&3\end{array}\right] = \left[\begin{array}{ccc}4&8\\2&6\end{array}\right]$ ,

$det ( 2A ) = 4 \times 6 - 8 \times 2 = 8$

c)

$A - 1 = \left[\begin{array}{ccc}2-1&4-1\\1-1&3-1\end{array}\right] = \left[\begin{array}{ccc}1&3\\0&2\end{array}\right]$

$det ( A-1) = 1 \times 2 - 3\times 0 = 2$