Question

(cij)3x3 tal que cij= {1,se i =j {i², se i≠ j(dij)3x3 tal que dij= {1+j ,se i ≠ j {i-3j,se=j

Answer 1

$(c_{ij})_{3x3}$
$(c_{ij})= \left \{ {{1, se i=j} \atop {i^2, se i \neq j}} \right.$

c₁₁= 1
c₁₂= 1²=1
c₁₃= 1²=1

c₂₁= 2²=4
c₂₂= 1
c₂₃= 2^²=4

c₃₁= 3²=9
c₃₂=3²=9
c₃₃= 1

$(c_{ij})\left[\begin{array}{ccc}1&1&1\\4&1&4\\9&9&1\end{array}\right]$


$(d_{ij})_{3x3} \\ \\(c_{ij})= \left \{ {{1+j, se i \neq j} \atop {i-3j, se i = j}} \right.$

d₁₁= 1-3(1)= -2
d₁₂= 1+2=3
d₁₃= 1+3=4

d₂₁= 1+1=2
d₂₂= 2-3(2)= -4
d₂₃= 1+3=4

d₃₁= 1+1=2
d₃₂=1+2=3
d₃₃= 3-3(3)= -6

$(d_{ij}) \left[\begin{array}{ccc}-2&3&4\\2&-4&4\\2&3&-6\end{array}\right]$