00:01
Hello, so we know that any matrix a is said to be symmetric if we have that a transpose is going to be equal to a.
00:10
So here are the matrix a transpose b .a will be symmetric if we have that a transpose b a all transpose is equal to a transpose b a.
00:21
So here we can use the following transpose properties of the matrix that we know that a, b, transpose is going to be equal to b transpose a transpose, and that, well, of course, a transpose transpose transpose is equal to a.
00:41
So here we look at a transpose b -a, all transpose, which is then going to be equal to, well, a transpose times b -a, and the whole thing transpose, which is then going to be equal to, b, a, transpose times, well, a transpose transpose, a transpose transpose transpose is just equal to a...