Question

Não estou conseguindo resolver me ajudem ​

Answer 1

Resposta:

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

b)   B = $\left[\begin{array}{ccc} 4&9&16\\9&16&25\\\end{array}\right]$

c)   C = |  3    - 3      3     - 7 |

d)   D = $\left[\begin{array}{ccc}1&3\\3&2\\4&5\end{array}\right]$

Explicação passo-a-passo:

Escreva as matrizes:

a) A(2x2)   onde aij  = i - j

    $\left[\begin{array}{ccc}a11&a12\\a21&a22\\\end{array}\right]$

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

b)  B (2x3)   onde bij = ( i + j )²

  $\left[\begin{array}{ccc}a11&a12&a13\\a21&a22&a23\\\end{array}\right]$

B = $\left[\begin{array}{ccc}(1+1)^{2} &(1+2)^2&(1+3)^2\\(2+1)^2&(2+2)^2&(2+3)^2\\\end{array}\right]$ = $\left[\begin{array}{ccc} 4&9&16\\9&16&25\\\end{array}\right]$

c) C (1x4)      cij   → i² - 2j  se j par  

                           →  3        se j ímpar

C = | a11   a12   a13   a14 |

C = | 3      1²-2*2     3      1² - 2*4  |

C = |  3        - 3        3       - 7 |

d) D (3x2)   dij  →  i       se  i = j

                         →  i + j    se i ≠ j

D = $\left[\begin{array}{ccc}a11&a12\\a21&a22\\a31&a32\end{array}\right]$

D = $\left[\begin{array}{ccc}1&3\\3&2\\4&5\end{array}\right]$

Bom estudo.