Question

Show that the set of all 2×2 real matrices is a vector space​

Answer 1

Answer:

Example 2 The set V of 2×2 matrices is a vector space using the matrix addition and matrix scalar multiplication. ... Since the multiplication of a scalar and a 2 × 2 matrix is still a 2 × 2 matrix axiom 6 holds. Prove in a similar way that all the other axioms hold, therefore the set of 2 × 2 matrices is a vector space.

Step-by-step explanation: