Matrix Solver Step by Step vs Cartesian graph coordinates

“Matrix Solver Step by Step” Linear Algebra learning tool and a Matrix Calculator: * Performs most commonly used matrix calculations and decompositions (see list below). * Demonstrates and explains algorithm steps for almost all the functions. * Draws interactive geometric references when appropriate. * Provides tutorials (explanations and proofs) for most Linear Algebra concepts. The tutorial topics have links to all other relevant topics, making them understandable for users with minimal prior knowledge of Linear Algebra. Every effort is being made to ensure user friendly interface and factual accuracy. The app is, so far, free of charge and free of ads. It is being continuously updated with new functions, graphs, and proofs. Suggestions and corrections are welcome! Write to us at graphmath@aol.com. List of functions (matrix size up to 8x8): 1. Solution for linear systems, real and complex. 2. Geometric solutions for 3 equation linear systems. 3. Matrix multiplication. 4. Matrix inverse, real and complex. 5. Determinant (row reduction, recursive and permutations methods). 6. Eigenvectors and eigenvalues, both real and complex. 7. Diagonalization. 8. Rotation-scaling similarity transformation. 9. Block-diagonalization transformation. 10. PLU factorization for square matrices. 11. LD(L transposed) factorization for symmetric matrices. 12. Column-Row factorization. 13. QR factorization by 3 existing methods: Gram-Schmidt, Givens rotations and Householder reflections. 14. Singular Value Decomposition (SVD), including using of SVD for Image compression. 15. Polar factorization. 16. Interactive graphs for transformation by 2x2 and 3x3 matrices, with derivation of specific matrix types, such as rotation or reflection. 17. Raising a Matrix to power n, where n is any integer between -10 and 10. 18. Matrix exponentials, x = exp(A*t) * x0. 19. Markov chain calculator. 20. Calculation of Correlation matrices and Principal Component Analysis (PCA). UI features: Most recent matrix entry for particular operation and size is saved between program runs. Input or output matrices can be saved to clipboard and pasted into other input screens in the app, text files and spreadsheets. Matrix and Linear Equations entries can be saved into table and are available after application is closed and re opened. Matrix entries can be filled with random numbers, different options for range are provided. Solutions as fractions are available for many functions. Eigenvalues and eigenvectors are shown as fractions and radicals for 2x2 matrices. Tutorial items can be saved into "My Tutorial Chapters" list. Comments can be added to most tutorial chapters and saved into "My Comments" list.

Graph points to draw unique pictures - Cartesian plane drawing with coordinates is a math-based game that teaches children basic math and essential geometry skills! Coordinate Plane game teaches you to solve real mathematical problems by correctly graphing points together. Cartesian plane named after mathematician Rene Descartes. He created a system of plane graph coordinates, that joins each point on the plane with a number. Coordinates and the Cartesian Plane is an important topic in any school curriculum and it’s required to be taught to all primary school kids. It’s an easy enough topic for little kids to grasp, especially when paired with simple but fun art drawing challenges. After all, joining points together creates pictures, and add to that math coordinates and you’re not only learning math, you're also being an artist! Learn how points are written in (x, y), how they are oriented to the axes, what is a positive and negative directions, how to read coordinates and what it means to join them together. This cool math game will make children learn in a fun and engaging way! Our game is: Completely FREE Simple - locate the points in the cartesian plane and join them to draw millions of pictures! Guarantees Brain fitness, promotes creativity, teaches logical thinking and connects visual aspects with theory! Provides a real IQ boost. Has 3 difficulty levels, with each one having hundreds of different exercises and challenges. Has clean design reminiscent of old-school notepads and simple but engaging graphics. Introduces active learning experience. Challenges kid’s imagination. Learn plane coordinates graph system while playing our fun, free math game! Follow us on LinkedIn https://www.linkedin.com/company/five-systems-development Add us on Instagram https://www.instagram.com/five_systems_development/ Be friends with us on Facebook https://www.facebook.com/fivesystemsdevelopment