Can someone explain how to get this answer please.
Let and be the subspaces of defined by
Find basis for and and
Now i can find basis for and fairly easily tho they were different from the ones given in the solutions. Problem is i have no idea how to calculate . This is the solution given.
(-2, 1, 0, 0), (1, 0, 1, 0) and (1, 0, 0, 1) form a basis for
(1, 1, 0, 0), (-1, 0, 1, 0) and (-1, 0, 0, 1) form a basis for
(-1, 2, 3, 0), (-1, 2, 0, 3) form a basis for
can someone explain this? It just says clearly this is the basis in the solution... Maybe clear for someone whos been studying it for 30+ years... I can sorta see where the -1 and 2 come from but not the 3's. Any help please?
sorry but i still have no idea. Can someone please just explain this fully. I have an exam on linear algebra in 2 days and i really dont wanna waste hours trying to figure out something thats only gonna get me a mark or two in the exam if its even in it. And i cant just ignore it cos it'll bug me to the point ill get nothing else done!