Question

Dadas as matrizes a= 4 −1 2 0 e b= 2 0 3 −1 calcule

Answer 1

Acredito que a pergunta completa seja:

"Dadas as matrizes A= (4 -1) (2 0) e B= (2 0) (3 -1) calcule:

a) B-A

b) A-(B+I2x2)

c) B-(A+02x2)"

a)

$\left[\begin{array}{ccc}-2&1\\1&-1\end{array}\right]$

b)

$\left[\begin{array}{ccc}1&-1\\-1&0\end{array}\right]$

c)

$\left[\begin{array}{ccc}-2&1\\1&-1\end{array}\right]$

Operações com matrizes.

Se trata de um problema de Operações com Matrizes.

a)

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

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

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

b)

Temos que:

$I_{(2x2)}=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]$

Então:

$A-(B+I_{(2x2)}) = I_{(2x2)}=\left[\begin{array}{ccc}4&-1\\2&0\end{array}\right]-\left[\begin{array}{ccc}2&0\\3&-1\end{array}\right]+\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]=\left[\begin{array}{ccc}1&-1\\-1&0\end{array}\right]$

c)

Temos que:

$0_{(2x2)}=\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]$

Então:

$B-(A+0_{(2x2)})=\left[\begin{array}{ccc}2&0\\3&-1\end{array}\right]-\left[\begin{array}{ccc}4&-1\\2&0\end{array}\right]+\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]=\left[\begin{array}{ccc}-2&1\\1&-1\end{array}\right]$

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