Determine if the following set is a vector space with the indicated operations. the set. v of all 2 x 2 real matrices a with standard matrix addition in m22 but scalar multiplication defined by a * a : =aa", a er.

so the addition is not a problem here, i understand that you write a*A = a.A so is a scalar product. if your matrix is A1, A2, A3, A4, and you multiply this with an scalar a defined in the real set.

then a*A = a.A1, a.A2, a.A3, a.A4

so this multiplication still gives you a 2x2 matrix, that is in your space.

so the defined here is a Vector space, because the addition of two of his objects results in other object in the set.

And also has a scalar multiplication that if you feed it with an object on the set, it returns another object on the set.

konichiwa~! my name is zalgo and i am here to answer your anime-related question today. more than likely, kirishima would kill izuku, marry mino and kiss momo. all of this would be my opinion by the way. (and i am also a weeb lol)

i hope this you! : d

stay and stay proud! " - zalgo

(and do you think you can mark me as brainliest? i'd greatly appreciate it! arigato~! )