Prove there exists a positive number c such that two inner products with corresponding norms?

See explanation below

Step-by-step explanation:

We assume that we have two inner products on v such that if and only if and we want to proof is there is a positive number c like this :

for every in V

We can assumee that we have an orthonormal basis of V with respect . We can define the following sets:

both defined on a n dimensional space, and then we have that for any linear comibnation we have this:

And A neds to be a matrix with entries

So then we have this:

And then we have the maximum defined and we need to satisfy that c is the maximum value for te condition required.

for every in V

the answer to your question a or b but i am pretty sure it is b. i hope this : )

step-by-step explanation:

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%