Homework Statement
1) If A is a product of elementary matrices, show that det(adj(A))=(det(A))^(n-1)
2) Prove the above statement without the assumption on A
Homework Equations
Hmm... Know A*adj(A)=det(A)*In (i.e. the n by n identity matrix)
The Attempt at a Solution
Well I know...
Alright, heh. Simple enough. One more thing...there's one question that gives a matrix A with vectors v1 = [1,2,-3,1,-1] v2 = [-1,-1,4,0,2] and v3 = [1,3,-2,2,0]. It asks to give a matrix B such that the column space of A is the same as the null space of B. So what I was getting out of this is...
I know the ones about having the zero vector, any scalar multiple of a vector must be included in the space and if two vectors, the sum of the two must be in the space, but other than that nothing.
Homework Statement
Determine if the sets are a subspace of the real vector space:
Prof is kinda hard to hear and doesn't explain stuff that well, can I get some help with this one?
Homework Equations
H = {[a,b,c,d] exist in 4-space| 4a+2b-8c+2d = 3a-5b+6d = b-6c-2d = 0}
H =...
I've got a lab. And the deal is, you're measuring certain things on various galaxies and eventually calculating the Tully-Fischer relation. Anyways, part of it is calculating an inclination angle to all of the galaxies measured. And I'm stuck with this. I have the major and minor axis dimensions...