Question

Dadas as Matrizes A,B e C ,calcule ...

Answer 1

a) A+C
$\left[\begin{array}{ccc}5&2\\1&3\\\end{array}\right] + \left[\begin{array}{ccc}7&4\\3&2\\\end{array}\right] = \left[\begin{array}{ccc}5+7&2+4\\1+3&3+2\\\end{array}\right]$
$A+C=\left[\begin{array}{ccc}12&6\\4&5\\\end{array}\right]$

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

c) A.B
$\left[\begin{array}{ccc}5&2\\1&3\\\end{array}\right] . \left[\begin{array}{ccc}9&-3\\0&6\\\end{array}\right] = \left[\begin{array}{ccc}5.9 + 2.0&5.(-3) + 2.6\\1.9+3.0&1.(-3)+3.6\\\end{array}\right]$
$A.B= \left[\begin{array}{ccc}45&-3\\9&15\\\end{array}\right]$

d) -4C
$-4. \left[\begin{array}{ccc}7&4\\3&2\\\end{array}\right] = \left[\begin{array}{ccc}-4.7&-4.4\\-4.3&-4.2\\\end{array}\right]$
$-4C= \left[\begin{array}{ccc}-28&-16\\-12&-8\\\end{array}\right]$

e) A + 2B - C
$\left[\begin{array}{ccc}5&2\\1&3\\\end{array}\right] + \left[\begin{array}{ccc}18&-6\\0&12\\\end{array}\right] - \left[\begin{array}{ccc}7&4\\3&2\\\end{array}\right] = \left[\begin{array}{ccc}5+18-7&2+(-6)-4\\1+0-3&3+12-2\\\end{array}\right]$
$A + 2B - C = \left[\begin{array}{ccc}16&-8\\-2&13\\\end{array}\right]$