# Matrix Solver Step by Step — Linear Algebra Visual Guide

> Linear algebra calculator and visual learning tool with step-by-step explanations. (iPhone/iPad app by Yuri Morozov.)

- Source: https://appshunter.io/ios/app/matrix-solver-step-by-step/id1623894950 (this page in markdown: same URL + `.md`)
- Developer: [Yuri Morozov](https://appshunter.io/developer/1582368813)
- Category: Education, Productivity
- Price: Free (on sale, was $0.99)
- Rating: 4.80/5 from 62 App Store ratings · 5 written reviews indexed
- Age rating: 4+
- Requires: iOS 15.0 · 12 MB
- Languages: American English
- Released: 2022-05-14
- Data updated: 2026-06-10
- Monetization: free
- User reviews in markdown: https://appshunter.io/ios/app/matrix-solver-step-by-step/id1623894950/reviews.md

## What is Matrix Solver Step by Step?

“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.

## Key features

- Matrix calculations and decompositions
- Step-by-step algorithm explanations
- Interactive geometric references
- Linear algebra tutorials and proofs
- Matrix operations (multiplication, inverse, determinant, etc.)
- Eigenvalues and eigenvectors
- Factorizations (PLU, LD, QR, SVD)

## Recent user reviews (5 of 5)

All indexed reviews: https://appshunter.io/ios/app/matrix-solver-step-by-step/id1623894950/reviews.md

### 5/5 — Great app

*2024-03-05*

This app helps in ways that are ground breaking. Thank you!

**Developer response:** Delighted to hear that our app helped you understand Linear Algebra concepts, and thanks for recognizing this!
We are now working on a new app that has an image editor and demonstrates linear transformations on user created images. It should be released in a month or so. After that, we will come back to Matrix Solver to add step by step explanations for two algorithms
1. Hessenberg Decomposition / Tri-diagonalization.
2. Francis QR algorithm for calculating eigenvalues of Hessenberg / tri-diagonal matrices.

If you have other requests, let us know.
Also, please let us know if you see flaws with the app.
Our e-mail is graphmath@aol.com

### 4/5 — Good

*2023-12-11*

Took awhile to get the gimmicks of it but it made since once I did

**Developer response:** Thank you for taking your time to figure it out, we are glad you found it useful. Please let us know if you still need any help or if you have suggestions.
Sincerely, Graphmath team
graphmath@aol.com

### 1/5 — Stuck

*2023-11-13*

Stuck on the "New in Version 20.0" screen. Will not allow me to press "Ok" to start the app. Will upgrade review when problem is resolved.

**Developer response:** Jan 2025 update:
We were able to reproduce and fix the issue with app freezing on start.
Better late than never.
-----------------------------
11/24/23: 
We were able to see this issue of freezing on an iPad, however, it was resolved by restarting the device, and there were no further issues. Since we have not heard from you, we are restoring the "New in Version" dialog. Please let us know if the app is working for you.

Sincerely, Graphmath developers

### 5/5 — Excellent app to visualize matrices

*2023-05-21*

Excellent app to visualize and learn matrices

**Developer response:** Thank you!
We still have a long list of future features and UI improvements for the app.
Let us know if you like us to add something to it!
E mail: graphmath@aol.com

### 5/5 — Not just a calculator, but a learning tool.

*2022-07-09*

Matrix Solver Step By Step places an emphasis on the last part of its name: far from simply providing the answer to common matrix computations, it walks you through a visual angle on the art of matrices and linear algebra. The graphs in this app, like the others from this developer, are powerful, detailed, and highly interactive. 

As a college student who has taken an applied course in linear algebra, downloading this app after the fact allowed me to continue and renew my learning with new perspectives on common matrix techniques.

**Developer response:** Thank you for your review, please check back as we are adding more features to this app.

## Frequently asked questions about Matrix Solver Step by Step

### What are the main functions of Matrix Solver Step by Step?

Matrix Solver Step by Step performs over 20 common matrix calculations and decompositions, including solving linear systems, matrix multiplication, finding eigenvalues/eigenvectors, and various factorizations. It also provides step-by-step explanations for these operations.

### How does Matrix Solver Step by Step explain linear algebra concepts?

The app offers tutorials with explanations and proofs for most linear algebra concepts, linking related topics to ensure understanding. It also includes interactive geometric references when appropriate to visualize concepts.

### What matrix sizes does Matrix Solver Step by Step support?

The app supports matrix sizes up to 8x8 for most of its functions. Specific features, like interactive graphs for transformations, are available for 2x2 and 3x3 matrices.

### Can I save my work in Matrix Solver Step by Step?

Yes, the app saves recent matrix entries for operations and allows you to save input or output matrices to the clipboard. You can also save matrix entries and tutorial items into lists for later access.

### Is Matrix Solver Step by Step suitable for beginners in linear algebra?

Yes, the app is designed to be understandable for users with minimal prior knowledge of linear algebra. The tutorials are structured to build understanding progressively.

### How often is Matrix Solver Step by Step updated?

The app is continuously updated with new functions, graphs, and proofs. The latest version is 26.10, last updated on 2025-12-18, indicating regular development.

### Does Matrix Solver Step by Step have ads?

No, Matrix Solver Step by Step is free of ads. The app is currently free of charge and does not display any advertisements.

### What devices is Matrix Solver Step by Step available on?

Matrix Solver Step by Step is available on iPhone, iPad, and iPod devices. It is designed for iOS users.

## Version history (last 5 releases)

### 26.10 — 2025-12-18

Bug fixes, crash prevention

### 26.9 — 2025-11-06

Added link to our new app, Discrete Probability (calculator, proofs, graphs).

### 26.8.1 — 2025-09-15

Bug fix.

### 26.8 — 2025-08-11

UI improvements.

### 26.7.1 — 2025-08-10

Bug fix, crash prevention.

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## More apps by Yuri Morozov

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All apps by Yuri Morozov: https://appshunter.io/developer/1582368813

## Related topics

[matrix math](https://appshunter.io/ios/topics/matrix-math) · [matrix algebra](https://appshunter.io/ios/topics/matrix-algebra) · [matrix calculator solver](https://appshunter.io/ios/topics/matrix-calculator-solver) · [matrix operations](https://appshunter.io/ios/topics/matrix-operations) · [linear algebra](https://appshunter.io/ios/topics/linear-algebra)

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*Data collected daily from the US App Store and indexed by [AppsHunter](https://appshunter.io/). User reviews are verbatim App Store reviews. Ratings, prices and chart positions refresh continuously; this snapshot is from 2026-06-10.*
