![](/assets/artwork/1x1-42817eea7ade52607a760cbee00d1495.gif)
Matrix Solver Step by Step 4+
Linear Algebra Visual Guide
Yuri Morozov
Designed for iPad
-
- Free
Screenshots
Description
“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.
What’s New
Version 24.19
Links to our new app, "3D Rotations and Quaternions (Calculator and Guide)"
App Privacy
The developer, Yuri Morozov, indicated that the app’s privacy practices may include handling of data as described below. For more information, see the developer’s privacy policy.
Data Not Collected
The developer does not collect any data from this app.
Privacy practices may vary based on, for example, the features you use or your age. Learn More
Information
- Provider
- Yuri Morozov
- Size
- 13.3 MB
- Category
- Education
- Compatibility
-
- iPhone
- Requires iOS 13.0 or later.
- iPad
- Requires iPadOS 13.0 or later.
- iPod touch
- Requires iOS 13.0 or later.
- Mac
- Requires macOS 11.0 or later and a Mac with Apple M1 chip or later.
- Apple Vision
- Requires visionOS 1.0 or later.
- Languages
-
English
- Age Rating
- 4+
- Copyright
- © GraphMath 2022-4
- Price
- Free