Question

explicite a matriz B=(bij)4x2, tal que bij=i-j​

Answer 1

Uma matriz 4x2 possui 4 linhas e 2 colunas. Sendo B=(bij)4x2, adotando bij=i-j, teremos:

$B=\left[\begin{array}{ccc}b11&b12\\b21&b22\\b31&b32\\b41&b42\end{array}\right]$

b11 = 1 - 1 = 0

b12 = 1 - 2 = -1

b21 = 2 - 1 = 1

b22 = 2 - 2 = 0

b31 = 3 - 1 = 2

b32 = 3 - 2 = 1

b41 = 4 - 1 = 3

b42 = 4 - 2 = 2

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