【實用教育app】Touch Matrix Algebra|最夯免費app-綠色工廠好玩App

Learning linear algebra? Need to see step by step how to bring a matrix to (reduced) row echelon form by Gaussian elimination? Or better yet, want to carry out the elementary row operations yourself? ... without getting bogged down in arithmetic, and learn one of the most important algorithms in mathematics, physics and computer science?Introducing 'Touch Matrix Algebra', a completely unique way of working with matrices: by touch! It's almost fun. Here are some of the unique features of this mathematics app:• drag and drop colour coded matrices to perform binary operations (e.g. matrix multiplication);• tap to edit, long press to operate on a single matrix;• work with either arbitrary precision matrix elements as rational numbers (rational matrices), or conventional fixed-precision, floating point numbers (decimal matrices). Convert the former into the latter;• see the detailed, step-by-step calculation of the Gaussian algorithm that brings a matrix to row-echelon or reduced row-echelon form, and calculates a matrix inverse, rank or determinant (for rational matrices)...• or better yet... in editing mode, highlight rows and instruct the app to carry out the elementary row operations yourself! Learn the essence of the algorithm without the hassle of carrying out the arithmetic details.• factorize a matrix into Lower and Upper triangular matrices (up to a Permutation matrix): PLU decomposition.Most of the basic linear algebra operations that can be done EXACTLY with rational numbers are implemented here.The basic version of the app allows you to work with matrices up to size 3 × 4, enough to solve three equation linear systems (i.e. with an augmented column), or invert a 3 × 3 matrix.Unlock the full version to blow the doors off, and create (essentially) arbitrarily large matrices. So you can drag race your new triple core iPad Air 2 against your friend's old iPhone 4s, and invert that random 1500 × 1500 decimal matrix . And while you're at it, do a PLU decomposition on a 1000 × 2000 decimal matrix... at the same time. (Just remember to turn off show calculations!) Touch Matrix Algebra is not only multithreaded, but the Gaussian algorithm is parallelized. It's sick: benchmark any iOS device!Designed by an educator, mathematician and physicist. Coded (almost) entirely in Swift.