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- Matrix-Analysis Vs. Matrix Solver Step by Step
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Matrix-Analysis vs. Matrix Solver Step by Step Utilizzo e statistiche
The MatrixAnalysis is carefully designed to be a simple and elegant app.
This app has tools to help you analyze matrices like finding eigenvalues and eigenvectors, diagonalization, QR, SLU, LU factorization.
This app can also be used to do matrix operations like, finding inverse, determinant, dot product, cross product, and much more.
You can also do elementwise operations and scalar operations.
Want to do fast fourier transform (FFT) or inverse fourier transform (IFFT), this app is capable of IFFT
Want to find an pseudo inverse of a non-square matrix, this app has you covered
Want to know a rotation matrix for a given angle or rotate a vector by the given angle? This app has you covered.
The expressions and the solutions are displayed in beautiful mathematical way.
Once the expressions are solved, a beautifully written solutions are created that you can share with other or save it locally.
It automatically saves your hard work locally on your device so you can come back and pick up from where you left off as your great effort will not be lost.
There is also a Study page to help you with learning some important matrix vector formulas and some useful technique.
This is an app for all student groups. From high school to college to university students.
Be creative. Enjoy the app!
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“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.
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Matrix-Analysis VS.
Matrix Solver Step by Step
19icembre d, 2024