00:01
Hello, so here we consider an upper triangular matrix.
00:04
So it's going to form, let's say, n11, and then so first column, and then n21, uh, so, and then so on to n1n, and it's going to be zero, say n2, to n2, to n, and then be down, this is going to be zero, zero, n, and let's say, um, and n, and then say, um, and n, so as the elements below the diagonal of zero, therefore in order to find the dimension of the space of all the upper triangular n -by -n matrix matrices, we consider the entries lying on or above the diagonal.
00:52
Therefore, the dimension will be equal to the number of entries along and above the diagonal...
