Question

fun pattern ques all try

Answer 1

If A is a 3x3 matrix whose i,jth terms are related to i and j then find the general term
\[a_{ij}\]
which satisfies the matrix given below
\[\left[\begin{matrix}0 & 2 & 6 \\ 2 & 8 & 18 \\ 6 & 18 & 36\end{matrix}\right]\]

Answer 2

\[a_{ij} = (i*j)*(i+j-2)\]
;)

Answer 3

Very good!! How did you think about it?

Answer 4

Hard to explain, i just keep staring the problem till i find some pattern

Answer 5

But one thing can help if you realize it's a symmetric matix. That means you have an expression for \(a_{ij}\) in which the order of operation with \(i\) and \(j\) does not matter. WIth that in mind, i can delete the options \(i/j\), \(j/i\), \(i-j\), \(j-i\), ... and many others. So we have to focus on expressions that have sums and products.

Answer 6

hope that clarify a bit more

Answer 7

nice