Question

4) SEJAM AS MATRIZES
a) A+C
b) B-A
c) A+B
d) B-C​

Answer 1

Resposta:

Explicação passo a passo:

Resolvendo:

I.

$A+C=\left[\begin{array}{ccc}-1&5&9\\4&2&3\\\end{array}\right] +\left[\begin{array}{ccc}2&4&6\\1&1&9\\\end{array}\right] \\\\\\A+C=\left[\begin{array}{ccc}-1+2&5+4&9+6\\4+1&2+1&3+9\\\end{array}\right] \\\\\\A+C=\left[\begin{array}{ccc}1&9&15\\5&3&12\\\end{array}\right]$

II.

$B-A=\left[\begin{array}{ccc}5&-8&0\\3&1&1\\\end{array}\right]-\left[\begin{array}{ccc}-1&5&9\\4&2&3\\\end{array}\right]\\\\\\B-A=\left[\begin{array}{ccc}5-(-1)&-8-5&0-9\\3-4&1-2&1-3\\\end{array}\right]\\\\\\B-A=\left[\begin{array}{ccc}6&-13&-9\\-1&-1&-2\\\end{array}\right]$

III.

$A+B=\left[\begin{array}{ccc}-1&5&9\\4&2&3\\\end{array}\right]+\left[\begin{array}{ccc}5&-8&0\\3&1&1\\\end{array}\right]\\\\\\A+B=\left[\begin{array}{ccc}-1+5&5+(-8)&9+0\\4+3&2+1&3+1\\\end{array}\right]\\\\\\A+B=\left[\begin{array}{ccc}4&-3&9\\7&3&4\\\end{array}\right]$

IV.

$B-C=\left[\begin{array}{ccc}5&-8&0\\3&1&1\\\end{array}\right]-\left[\begin{array}{ccc}2&4&6\\1&1&9\\\end{array}\right] \\\\\\B-C=\left[\begin{array}{ccc}5-2&-8-4&0-6\\3-1&1-1&1-9\\\end{array}\right]\\\\\\B-C=\left[\begin{array}{ccc}3&-12&-6\\2&0&-8\\\end{array}\right]$

Espero ter ajudado!

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