Question

Linear algebra question below!

Answer 1

The answer is always 1089

Answer 2

If the pattern repeats, then there \(n-1\) dependent rows. The second row is twice the first, the third row is three times the first, and so on. So the matrix is singular, but also of rank \(1\).

Answer 3

So the eigenvalue = the summation of 1 to n?

Answer 4

That's correct. All the others are zero.