Question

Alguém pra nesta questão?

Answer 1

Resposta:

Alternativa d)

Explicação passo-a-passo:

$X-\frac{1}{2}AB=2C \Rightarrow X=2C+\frac{1}{2}AB\\\\X=2.\left[\begin{array}{ccc}7&0\\-3&6\\\end{array}\right] +\frac{1}{2}\left[\begin{array}{ccc}1&-2\\4&3\\\end{array}\right] .\left[\begin{array}{ccc}2&-3\\-4&1\\\end{array}\right]\\\\\\\X=\left[\begin{array}{ccc}14&0\\-6&12\\\end{array}\right] +\frac{1}{2}\left[\begin{array}{ccc}10&-5\\-4&-9\\\end{array}\right]\\\\\\X=\left[\begin{array}{ccc}14&0\\-6&12\\\end{array}\right] +\left[\begin{array}{ccc}5&-\frac{5}{2} \\-2&-\frac{9}{2} \\\end{array}\right]$

$X=\left[\begin{array}{ccc}19&-\frac{5}{2}\\-8 &\frac{15}{2} \\\end{array}\right]\\\\\\det(X)=\frac{245}{2}$