Question

. Escreva a matriz C = (cij)3x4, tal que cij = –i + 2j , se i ≥ j e cij = i–j se i < j

Answer 1

Resposta:

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

Explicação passo a passo:

$C=\left[\begin{array}{cccc}a_1_1&a_1_2&a_1_3&a_1_4\\a_2_1&a_2_2&a_2_3&a_2_4\\a_3_1&a_3_2&a_3_3&a_3_4\end{array}\right]$

$Se~i\geq j,~c_i_j=-i+2j\\\\Se, i < j,~c_i_j=i-j$

$a_1_1=-1+2.1=-1+2=1\\\\a_1_2=1-2=-1\\\\a_1_3=1-3=-2\\\\a_1_4=1-4=-3\\\\a_2_1=-2+2.1=-2+2=0\\\\a_2_2=-2+2.2=-2+4=2\\\\a_2_3=2-3=-1\\\\a_2_4=2-4=-2\\\\a_3_1=-3+2.1=-3+2=-1\\\\a_3_2=3-2=1\\\\a_3_3=3+2.3=-3+6=3\\\\a_3_4=3-4=-1$