The main problem of Linear Algebra is: how to invert a linear change of coordinates. We solve this problem here in the important special case of
a linear change between x1,x2,x3 variables and y1,y2,y3 variables. The solution involves the 3x3 determinant. As an application, we learn how to invert a 3x3 matrix.
NJ Wildberger is also the developer of Rational Trigonometry: a new and better way of learning and using trigonometry---see his WildTrig YouTube series under user `njwildberger'. There you can also find his series on Algebraic Topology, History of Mathematics and Universal Hyperbolic Geometry.
NJ Wildberger is also the developer of Rational Trigonometry: a new and better way of learning and using trigonometry---see his WildTrig YouTube series under user `njwildberger'. There you can also find his series on Algebraic Topology, History of Mathematics and Universal Hyperbolic Geometry.