PocketCAS vs Matrix Solver Step by Step

PocketCAS is a graphing calculator for iPhone and iPad. It graphs your functions, finds derivatives and works with exact fractions and roots. Everything runs on your device, so it works without internet or an account. An in-app purchase unlocks PocketCAS Pro, with steps, integrals and the solver. Graphs - 2D plots of functions, implicit equations, polar and parametric curves and vector fields, two functions per plot. PocketCAS marks zeros, extrema and intersections. In full screen, tap a mark to read its coordinates. - 3D surfaces with soft light and shading. Drag to turn them, pinch to zoom. Derivatives - Under each function, a suggestion shows its derivative, already worked out, and a small plot sits beside the result. Tap one to add it to your document. - Exact derivatives of products, quotients, roots and chains, written the way your textbook writes them. Exact results - Arithmetic with exact fractions and roots, trigonometric, exponential and logarithmic functions. - Matrices: determinants, inverses and products. - Your own functions, with conditions and recursion. - Common units and physical constants. Reads like your textbook - Results look the way they do in a textbook: fractions, roots, powers and matrices. - A math keyboard with every function in reach, and a hint shows what goes between the brackets. Made for daily work - Documents keep your calculations and plots together, and iCloud syncs them between your devices. - Export and print plots, entries or whole documents (with a watermark). - Help built in: the function reference explains every function with examples, and tutorials get you started. Unlock PocketCAS Pro One purchase in the app unlocks everything in PocketCAS Pro, without a subscription: calculation steps that name the rule behind each step, integrals, limits, series and sums, equation and system solving, factoring and simplifying, eigenvalues, differential equations, scripts, plots with more than two functions, imports of documents and CSV data, larger matrices in the editor, exports without a watermark, and suggestions with zeros, extrema and integrals. Family Sharing is included, and Restore Purchases is in the main menu. Until you unlock it, the function reference marks the functions of Pro with a PRO badge. PocketCAS Pro is also sold as its own app; you need only one. Questions or ideas? Write to us at https://pocketcas.com/support. Terms of Use: https://www.apple.com/legal/internet-services/itunes/dev/stdeula/ Privacy Policy: https://pocketcas.com/privacy.php

“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.