Suppose I consider the set of all matrices in $\mathrm{GL}(n, \mathbb{R})$, and I arbitrarily pick four distinct matrices $A,B,C,D$.
How can one prove that $AB$ is not equal to $CD$.
Suppose I consider the set of all matrices in $\mathrm{GL}(n, \mathbb{R})$, and I arbitrarily pick four distinct matrices $A,B,C,D$.
How can one prove that $AB$ is not equal to $CD$.