Question

Determine a matriz diagonal de ordem 5 tal que aij=i-j

Answer 1

$\left[\begin{array}{ccccc}a11&a12&a13&a14&a15\\a21&a22&a23&a24&a25\\a31&a32&a33&a34&a35 \\ a41&a42&a43&a44&a45 \\ a51&a52&a53&a54&a55\end{array}\right]$


aij=i-j
a11=1-1=0
a22=2-2=0
a33=3-3=0
a44=4-4=0
a55=5-5=0

$\left[\begin{array}{ccccc}0&0&0&0&0\\0&0&0&0&0\\0&0&0&0&0 \\ 0&0&0&0&0 \\ 0&0&0&0&0\end{array}\right]$