Linear algebra nxn matrix, n=14

1. The problem statement, all variables and given/known data

Use cofactor expansion to compute determinants of nxn matrices

A= (aij)=

[0 0 ... 0 1

0 0 ... 2 0

.............

0 (n-1) 0 ... 0

n 0 0 .... 0]



B=(bij)=

[ 0 1 0 ... 0

0 0 2 ... 0

.............

0 0 0 ... (n-1)

n 0 0 ... 0]





2. Relevant equations



det(A) = (aij)(-1^(i+j))det(aij)



3. The attempt at a solution

I though A was diagonal matrix so I tried (n)(n-1)2*1=364

Then I realized to include ... so I thought det(A) = 0

Both were wrong.

Not sure how to solve either det(A) or det(B) when n=14

Does than mean its just n=14 or is it 14x14 matrix?