Question

matrizes SENDO  A= 5  2    B= 1    1
                                  3   4         2    5

c) calcule A²

Answer 1

| 5  2 | ²
| 3  4 |

| (5*5) + (2*3)         (5*2) + (2*4) |
| (3*5) + (4*3)         (3*2) + (4*4) |

| (25) + (06)         (10) + (08) |
| (15) + (12)         (06) + (16) |

| 31     18 |
| 27     22 |

Answer 2

$A^{2} = \left[\begin{array}{cc}5&2\\3&4\\\end{array}\right] . \left[\begin{array}{cc}5&2\\3&4\\\end{array}\right]$

$A^{2} = \left[\begin{array}{cc}5.5+2.3&5.2+2.4\\3.5+4.3&3.2+4.4\\\end{array}\right]$

$A^{2} = \left[\begin{array}{cc}31&18\\27&22\\\end{array}\right]$