Recent content by drosales

Im not quite sure how to show this

Would you mind explaining it? I have it in my lecture notes but I have trouble following

Yes and the product of the elementary matrices returns A=E1*E2*..*En is this what you are referring to?

My understanding is that det(B) is the sum of the cofactor expansions multiplied by minor matrices

Yes, that is what was meant. I didnt realize I didnt complete that

I need help with another homework problem Let n be a positive integer and An*n a matrix such that det(A+B)=det(B) for all Bn*n. Show that A=0 Hint: prove property continues to hold if A is modified by any finite number of row or column elementary operations It seems obvious that A=0 but...

I'm having trouble with this problem on my homework Let n be a positive integer and A=[ai,j] A is n*n. Let B=[Bi,j] B is n*n be the matrix defined by bi,j=(-1)i+j+1 for 1<i,j<n. Show that det(B)=(-1)ndet(A) Hint: use the definition of determinant I honestly have no idea how to go about...