00:02
So a square matrix is symmetrical if it's equal to its transpose.
00:10
So what does that tell us about the elements in the transpose and the original matrix? well, first you look at the equality, what it means for two matrices to be equal.
00:31
And so what that means is that the two matrices have the same size, one thing.
00:40
So our transpose our n by n, so square matrix is equal to the size of our original matrix, which is also n by n.
00:53
And the second thing, which is going to tell us something about the elements, which is what we're looking for, is that every element in the matrices there, they correspond to each other, so they're the same.
01:07
So every element in a specific row and column in the transpose, is going to be equal to another element in that specific row and column.
01:17
So the transpose j i is equal to the element a ij for all i and j for all i j...
