I presume you have done this- it's almost trivial.A, B and C are ntimes n matrices such that AB=I and CA=I
show B= C (i have done this part)
b) i. A and B are n times n matrices that commute. Show A squared and B squared commute
ii. Give a generalisation of this result (without proof)
I presume you mean "A is invertible".c. A and B are n times n matrices and n is invetible. Shoe
Go ahead an multiply out left and right sides. You should get the same result. The only difference between this and elementary algebra is that you have to be careful not to commute A and B.
This is also close to being trivial.d. A and B are n times n invertible matrices that commute. Show that A^-1 and B^-1 also commute
it's fairly urgent-any help would be much appreciated
Look at and . Of course since A and B commute, those must be equal.