Matrix Solver Step by Step 4+

Linear Algebra Visual Guide

Yuri Morozov

Designed for iPad

    • 4.7 • 34 Ratings
    • Free



“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

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 24.16.1

Bug fix.

Ratings and Reviews

4.7 out of 5
34 Ratings

34 Ratings

sammoroz ,

Not just a calculator, but a learning tool.

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.

Fdpeq ,

Great app

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

reybako ,

Excellent app to visualize matrices

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:

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, for example, based on the features you use or your age. Learn More

More By This Developer

Polynomials and Linear Systems
Vectors and Planes
Least Squares Curve Fit
Drawing with Math

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