if
then
so in 1) you have the four equation
So now you have to solve this system.
and as of for 2)
you must solve this system.
I gave an exemple (it is not unique) of a solution, but you should try to find it before checking.
Spoiler:
Hi I'm not sure if this is the right forum to post this, but if it is not, I sincerely apologize.
I am really stuck at these two questions,
1.) Find all 2x2 matrices A for which A^2=A by letting A =
This was the last part to this question, "The result "If ab=0 then a=0 or b=0 for real numbers does not have an equivalent result for matrices."
I don't know if this could be helpful but I really do not know how to do this question..
2.) Give one example which shows that if "A^2=O then A=O" is a false statement. (O is the null matrix!)
I got up to multiplying the matrices together and then equated it to 0..
Really appreciate your help!