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Matrix Solver Step by Step

Matrix Solver Step by Step

發行日期:2022-05-14
© GraphMath 2022-25
Matrix Solver Step by Step - QR碼
版本 26.0
4+
App Store 下載
版本 26.0
4+
App Store 下載
發行日期:2022-05-14
© GraphMath 2022-25

iPhone Screenshots

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iPad Screenshots

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說明

Learn Linear Algebra in an interactive way with lots of visual tools!
“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.

此版本中有什麼更新? (26.0)

1. Search for calculator functions.
2. UI improvements

銷售商

名稱

Yuri Morozov

網址

資訊

開發人員

類別

版本

26.0

大小

13.5 MB

Game Center

VPP Device Licensing

喜好程度

分級:4+

相容性

iOS 15.0 或更新版本

裝置

iPhone 5s, iPhone 6, iPhone 6 Plus, iPhone 6s, iPhone 6s Plus, iPhone SE, iPhone 7, iPhone 7 Plus, iPhone 8, iPhone 8 Plus, iPhone X, iPhone XR, iPhone XS, iPhone XS Max, iPhone 11, iPhone 11 Pro, iPhone 11 Pro Max, iPhone SE(第 2 代), iPhone 12, iPhone 12 Pro, iPhone 12 Pro Max, iPhone 12 mini, iPhone 13, iPhone 13 Pro, iPhone 13 Pro Max, iPhone 13 mini, iPhone SE(第 3 代), iPhone 14, iPhone 14 Plus, iPhone 14 Pro, iPhone 14 Pro Max, iPhone 15, iPhone 15 Plus, iPhone 15 Pro, iPhone 15 Pro Max, iPhone 16, iPhone 16Plus, iPhone 16Pro, iPhone 16ProMax, iPad(第 5 代)Wi-Fi, iPad(第 5 代)Wi-Fi + Cellular, iPad(第 6 代)Wi-Fi, iPad(第 6 代)Wi-Fi + Cellular, iPad Pro, iPad Pro (Cellular), iPad Pro(9.7 英吋), iPad Pro(9.7 英吋)(Cellular), iPad Pro 12.9 英寸(第 2 代), iPad Pro 12.9 英寸(第 2 代) Wi-Fi + Cellular, iPad Pro(10.5 英寸), iPad Pro(10.5 英寸) Wi-Fi + Cellular, iPad Pro(11 英寸), iPad Pro(11 英寸) Wi-Fi + Cellular, iPad Pro 12.9 英寸(第 3 代), iPad Pro 12.9 英寸(第 3 代) Wi-Fi + Cellular, iPad Air, iPad Air (Cellular), iPad Air 2, iPad Air 2 (Cellular), iPad Air(第三代), iPad Air(第三代) Wi-Fi + Cellular, iPad mini Retina, iPad mini Retina (Cellular), iPad mini 3, iPad mini 3 (Cellular), iPad mini 4, iPad mini 4 (Cellular), iPad mini(第 5 代), iPad mini(第 5 代)Wi-Fi + Cellular, iPad(第 7 代)Wi-Fi + Cellular, iPad Pro(11 英寸,第 2 代), iPad Pro(11 英寸,第 2 代)(Wi-Fi + 行動網路), iPad Pro(12.9 英寸,第 4 代), iPad Pro(12.9 英寸,第 4 代)(Wi-Fi + 行動網路), iPad Air(第四代)(Wi-Fi), iPad Air(第四代)(Wi-Fi + Cellular), iPad(第 8 代)Wi-Fi, iPad(第 8 代)Wi-Fi + Cellular, iPad Pro(11 英寸,第 3 代), iPad Pro(11 英寸,第 3 代)(Wi-Fi + 行動網路), iPad Pro(12.9 英寸,第 5 代), iPad Pro(12.9 英寸,第 5 代)(Wi-Fi + 行動網路), iPad(第 9 代), iPad(第 9 代)Wi-Fi + Cellular, iPad mini(第 6 代), iPad mini(第 6 代)Wi-Fi + Cellular, iPad Air(第 5 代), iPad Air(第 5 代) Wi-Fi + Cellular, iPad Pro(11 英寸,第 4 代), iPad Pro(11 英寸,第 4 代)(Wi-Fi + 行動網路), iPad Pro(12.9 英寸,第 6 代), iPad Pro(12.9 英寸,第 6 代)(Wi-Fi + 行動網路), iPad(第 10 代), iPad(第 10 代)(Wi-Fi + 行動網路), iPad Air 11 吋(M2)Wi-Fi, iPad Air 13 吋(M2)Wi-Fi, iPad Air 13 吋(M2)Wi-Fi + 行動網路, iPad Pro 11 吋(M4)Wi-Fi, iPad Pro 11 吋(M4)Wi-Fi + 行動網路, iPad Pro 13 吋(M4)Wi-Fi, iPad Pro 13 吋(M4)Wi-Fi + 行動網路, iPad MiniA17Pro, iPad MiniA17ProCellular, iPod touch (第六代), iPod touch (第 7 代)

語言

英文

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