Mathematics with PocketCAS Pro vs Matrix Solver Step by Step

PocketCAS is a graphing calculator and computer algebra system for iPhone and iPad. It graphs your functions, gives exact answers and shows the steps behind derivatives and integrals. Everything runs on your device, so it works without internet or an account, and you buy it once instead of paying for a subscription. Graphs - 2D plots of functions, implicit equations, polar and parametric curves, run charts and vector fields. PocketCAS marks zeros, extrema and intersections. In full screen, tap a mark to read its coordinates. - 3D surfaces and space curves with soft light and shading. Drag to turn them, pinch to zoom, add a floor grid or pick another color map. - Animated plots: use the variable anim in any plot. Suggestions and steps - Under each function, suggestions show what to look at next: its derivative, zeros, extrema, integral or a plot. The answer is already in the suggestion. Tap it to add it to your document. - Functions get a small plot right beside the result. - Calculation steps show the rules behind a derivative, an integral, a differential equation or an extremum, one row per rule. Exact answers - Algebra: solve equations and systems, simplify, expand and factor expressions, divide polynomials. - Calculus: limits, derivatives, integrals, Taylor series and sums. - Linear algebra: matrices, determinants, inverses, eigenvalues and eigenvectors. - Differential equations: ordinary differential equations, solved exactly. - Units and constants: enter physical formulas with units and convert the results. - Scripts: define your own functions with conditions, loops and recursion. Reads like your textbook - Results look the way they do in a textbook: fractions, roots, sums, integrals and matrices. Long results wrap to the width of your screen. - A math keyboard with every function in reach. Your recent functions sit above it, and a hint shows what goes between the brackets. Made for daily work - Documents keep your calculations and plots together, so you can pick up where you left off. - iCloud syncs your documents between iPhone, iPad and Mac. The Mac app is a separate purchase. - Export: print or share plots, entries or whole documents as PDF. - Import: reuse functions from other documents, or load data from CSV files. - Help built in: the reference explains every function with examples, and tutorials get you started. A free version of PocketCAS lets you try the interface and many features first. What users say "This program has an incredible amount of power for such a compact program. I teach high school math, and this program can work with all sorts of expressions, graphs, and help check my work. Definitely worth it!" "One of three Apps I use when teaching A Level maths. Have recommended to numerous students. Excellent." "This app is amazing and could help me with about 98% of the math that I had to do during my mechanical engineering degree all the way from my bachelor to my master." Questions or ideas? Write to us at https://pocketcas.com/support.

“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.