- #1
dmitriylm
- 39
- 2
Homework Statement
Show that all 2 x 2 matrices with real entries:
M(2x2) = {
a b | a,b,c,d are real numbers}
c d |
is a vector space under the matrix addition:
|a1 b1| + | a2 b2| = |a1+a2 b1+b2|
|c1 d1| + | c2 d2| = |c1+c2 d1+d2|
and scalar multiplication:
r*| a b | = | ra rb |
r*| c d | = | rc rd |
This vector space is "similar" to another vector space. Can you comment on this?
*Ignore any silver text, its only used for formatting.
How would I go about proving this?