HW question

Hello, I was just wondering why some content on the homework due tonight and Sunday has not been covered in class? Most of the problems cover topics that you have not even mentioned.

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Welp, if it will make you feel better let's have both homework sets due on Tuesday night. For the record, the kernel is another name for the null space and the image is another name for the column space, so I suggest you get started on those. And I talked about how matrixes lead to transformations by talking about how they turn lines into other lines and hence squares into quadrilaterals, where the sides of the quadrilateral are made from the columns of the matrix, which tells you everything you need to know about how to find the matrix that gives some transformation, so you probably want to get started on that too.
The one about powers of matrixes, as the hint tells you, is really just about diagonalization which I talked about on Wednesday, and is really super easy, but I'll talk about it on Monday just to make it extra clear because it's a good example.

The ones about the dot product and orthogonality and length of vectors are about the transpose of one vector times another, as talked about quite a lot and talked about the relationships between these ideas, so you might want to get started with those too.  I haven't done Gram-Schmidt algorithm yet though, so I'll do that Monday. (It's actually kind of a problematic algorithm because of numerical instability and people use other methods to get an orthogonal set instead, but it's traditional so let's do it)