Recent content by rachbomb

I would like to show that (cxb).a = (axc).b in Rn where x denotes the cross product and . denotes the dot product. Since the cross product is only defined in R1, R3, and R7, my inclination is to prove the above equation in cases (case one being a,b,c are vectors in R1, etc). However, this...

I would like to show that (cxb).a = (axc).b in Rn where x denotes the cross product and . denotes the dot product. Since the cross product is only defined in R1, R3, and R7, my inclination is to prove the above equation in cases (case one being a,b,c are vectors in R1, etc). However, this...

I need to find an example of a group of singular, non-diagonal matrices under matrix multiplication. Does such a thing exist?

I've been asked by my professor to identify a group of singular matrices. At first, I did not think this was possible, since a singular matrix is non-invertible by definition, yet to prove a groups existence, every such singular matrix must have an inverse. It has been brought to my...