/sci/ - Science & Math

>>11095873

JWST will never fly
Orion will never fly
SLS will never fly
All defunded for Biden-Rocket 2022

>>10483137
There's one planet in our entire solar system with liquid water and every square inch of it is covered in disgusting germs.

>>9744444
I am here to check these quints
no quints must go unchecked under my watch!

>>9173890

So...obvious.

One more semester left. Been in school since 2011 and ended up transferring to a bigger school where nearly half my community college credits weren't accepted. So I had to retake multiple classes, then I got in a car accident and had to medically withdraw for an entire year. There's been many setbacks but I'm very happy to be nearly done.

I'm trying to prove that for every invertible matrix A of n×n there exists and basis D in n such that A=[M]B->D ( M is the change of basis matrix from B to D)
If you would give me a hint on how to start the proof it will save me a lot of trouble

Can someone explain to me why its 21?
I'm trying to fully understand what's going on, I thought this is like distributing 6 identical balls into 2 urns so 7!/6! Is what I thought was right.
what went wrong here ?

How many different 5 digit numbers can be formed using 1,3,4,6,7,8,9
If the 7 and 4 are used at least once.
Here is what I think first possibility is 4 and 7 appear once so I think its P(5,2)*5^3,and secondly 4 and 7 can appear twice in the number so same logic P(5,4)*5.
So the final count should be P(5,2)*5^3+P(5,4)*5
Did I get that right?

>>8347289
Is this supposed to be a good thing?