Respostas

2014-03-24T18:42:34-03:00
Matriz genérica.

 A=  \left[\begin{array}{ccc}a11&a12&a13\\a21&a22&a23 \\ a31&a32&a33\end{array}\right]


1)
aij=1-2j
a11=1-2.1=-1
a12=1-2.2=-3
a13=1-2.3=-5
a21=1-2.1=-1
a22=1-2.2=-3
a23=1-2.3=-5
a31=1-2.1=-1
a32=1-2.2=-3
a33=1.-2.3=-5

A=  \left[\begin{array}{ccc}-1&-3&-5\\-1&-3&-5\\-1&-3&-5\end{array}\right]



2)aij=i+j
a11=1+1=2
a12=1+2=3
a21=2+1=3
a22=2+2=4

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

bij=2i-j
a11=2.1-1=1
a12=2.1-2=0
a21=2.2-1=3
a22=2.2-2=2

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



3)se o i=j o aij=1+i+j
a11=1+1+1=3
a22=1+2+2=5
a33=1+3+3=7

se i ≠ j o aij=i-j
a12=1-2=-1
a13=1-3=-2
a21=2-1=1
a23=2-3=-1
a31=3-1=2
a32=3-2=1


A=  \left[\begin{array}{ccc}3&-1&-2\\1&5&-1\\2&1&7\end{array}\right]


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