- #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?