Question

construct a 3*3 matrix whose elements are given by aij=(i+j)³/3​

Answer 1

Answer:

⎡

a11

a21

a31

a12

a22

a32

a13

a23

a33

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⎥

⎤

\begin{gathered} \left[\begin{array}{ccc}1+1&1+2&1+3\\2+1&2+2&2+3\\3+1&3+2&3+3\end{array}\right] \end{gathered}

⎣

⎢

⎡

1+1

2+1

3+1

1+2

2+2

3+2

1+3

2+3

3+3

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⎥

⎤

\begin{gathered} \left[\begin{array}{ccc}2&3&4\\3&4&5\\4&5&6\end{array}\right] \end{gathered}

⎣

⎢

⎡

2

3

4

3

4

5

4

5

6

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⎤