mathodman

Hi, yeah it definitely makes sense, this is a problem from an old exam so there must be a solution for sure

its not, look at descriptions above

https://mathforums.com/threads/calculate-a-determinant-of-specific-a-matrix.348091/

I don't know, i kind of got stuck on this one.

Its not a homework, lol. Just an interesting problem, that i don't quite understand. I think that the only option is that A matrix is zero matrix or maybe i have forgotten some theorem or criteria

Let for j = 0,. . ., n aj = a0 + jd, where a0 and d are fixed real numbers. Calculate the determinant of the matrix A of size (n + 1) × (n + 1). Matrix A is below

Let a 3 × 3 matrix A be such that for any vector of a column v ∈ R3 the vectors Av and v are orthogonal. Prove that At + A = 0, where At is the transposed matrix.