#Randomize \$SL_n(\mathbb R)\$

Given a positive integer \$n > 1\$, return a random element from \$SL_n(\mathbb R)\$.

###Details

• \$SL_n(\mathbb R)\$ is the set of \$n \times n\$ matrices with determinant \$1\$.
• In theory the output must cover the whole \$SL_n(\mathbb R)\$ (that is, if the RNG you're using was perfect and we could actually represent real numbers).
• We don't require an uniform distribution.
• Instead of real numbers it is sufficient to work with floating point numbers.

Randomize \$SL_n(\mathbb R)\$

Given a positive integer \$n > 1\$, return a random element from \$SL_n(\mathbb R)\$.

Details

• \$SL_n(\mathbb R)\$ is the set of \$n \times n\$ matrices with determinant \$1\$.
• In theory the output must cover the whole \$SL_n(\mathbb R)\$ (that is, if the RNG you're using was perfect and we could actually represent real numbers).
• We don't require an uniform distribution.
• Instead of real numbers it is sufficient to work with floating point numbers.