We use Cramer's rule to solve a system of linear equations with a 3x3 coefficient matrix, meaning there are three equations and three unknowns. This will require us to calculate the determinant of a 3x3 matrix four times, then do some simple division. #linearalgebra Cramer's Rule for Solving System of Linear Equations: Linear Algebra course: Linear Algebra exercises: Join Wrath of Math to get exclusive videos, music, and more: ◉Textbooks I Like◉ Graph Theory: Real Analysis: Abstract Algebra: Linear Algebra: Calculus: Proofs and Set Theory: (available for free online) Statistics: Discrete Math: Number Theory: ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: ◆ Donate on PayPal: Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon! Outro music is mine. You cannot find it anywhere, for now. Follow Wrath of Math on... ● Instagram: ● Facebook: ● Twitter: My Math Rap channel: