I obtained the same result.
Thank you very much :)
Also, my bad. The "given" part in the 3rd question is not given.
The question is written as follows:
A, B and C are three matrices of order 2x2. Prove that C (AB-BA) ^2= (AB-BA) ^2*C.
You can use the results obtained in parts 1 and 2 in order...
Thank you very much for the response, sir.
In regard to #2 -- I calculated AB-BA.
However, I did not see how the sum of the two entries in the diagonal equal zero.
I obtained the following entries:
a11= rb-cp
a22=qc-dp
How should I proceed?
If A and B are matrices that AC = AC and BC=CB, where C is a matrix whose first row's entries are 0 1 and the second row's entries are -1 0, then AB=BA.
1. A is a matrix of order 2x2 whose main diagonal's entries' sum is zero. Prove that A^2 is a scalar matrix.
2. Given: A and B are two matrices of order 2x2. Prove that the sum of the entries of the main diagonal of AB-BA is zero.
3. A, B and C are three matrices of order 2x2. Given: A^2 is a...