nvm, i have a final tomorrow - i will simply send it in as is, cause i obviously do not understand- and hope its not found to often on the exam! Thank you for your help -
"If X=Y, it's convenient to choose B=A, and to speak of the matrix representation of T with respect to A instead of with respect to (A,A), or (A,B). The formula for Tij can now be written as
Tij=(Tej)i=(Tei),(Tej)"
I guess what I did not understand is how to refer it to the matrix of the...
yes, I am sorry , a couple of minor errors there. I meant "u" not "U".
And yes I ignored the formula with [T], because I did not know what to do with it. But I thought they wanted to know if V=i then find T(u), but I guess not. How am I suppose to compute [T] if v=(1,0,0)?
Ok, well i have answered a and b to the best of my knowledge and ability, is there someone that can help me on part c)?
Here is the question again.
1- Question
Let V be a fixed vector in R^3. a)Show that the transformation defined by T( u)= v X u is a linear transformation.
b) Find the range ot...
1- Let the linear operator on R^2 have the following matrix:A = 1 0
-1 3
What is the area of the figure that results from applying this transformation to the unit square?
2- I am abit confused here, I thought that the matrix for the unit square would be,
0 0
1 0
0 1
1 1...
But...
yes, I am aware of that. and I know that to find a subspace of R3 that is orthogonal to v, we would find the orthogonal projection of R3 on W. where w is a subspace of R3. witch would be the Ax, A being the column space of given vectors of v, and x being the least squares solution of Ax=v.