Matrix Solver Step by Step 24.16.1

Yuri Morozov – Freeware – iOS
out of 34 votes

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Matrix Solver Step by Step is a comprehensive linear algebra learning tool and matrix calculator that offers a wide range of functionalities:
<ul>
<li>Performs various matrix calculations and decompositions including solutions for linear systems, matrix multiplication, matrix inverse, determinants, eigenvectors, eigenvalues, diagonalization, and more.</li>
<li>Demonstrates and explains algorithm steps for functions.</li>
<li>Incorporates interactive geometric references when necessary.</li>
<li>Provides tutorials on Linear Algebra concepts with clear explanations and proofs.</li>
</ul>
The application strives to maintain a user-friendly interface and uphold factual accuracy. Notably, it is advertisement-free and available at no cost. Continuous updates introduce new functions, graphs, and proofs to enhance user experience. Feedback, suggestions, and corrections are encouraged via email at graphmath@aol.com.
List of functions (matrix size up to 8x8):
<ol>
<li>Solution for linear systems, real and complex.</li>
<li>Geometric solutions for 3 equation linear systems.</li>
<li>Matrix multiplication.</li>
<li>Matrix inverse, real and complex.</li>
<li>Determinant using row reduction and recursive methods.</li>
<li>Eigenvectors and eigenvalues for real and complex matrices.</li>
<li>Diagonalization.</li>
<li>Rotation-scaling similarity transformation.</li>
<li>Block-diagonalization transformation.</li>
<li>PLU factorization for square matrices.</li>
<li>LD(L transposed) factorization for symmetric matrices.</li>
<li>Column-Row factorization.</li>
<li>QR factorization using Gram-Schmidt, Givens rotations, and Householder reflections methods.</li>
<li>Singular Value Decomposition with application in image compression.</li>
<li>Polar factorization.</li>
<li>Interactive graphs for transformation by 2x2 and 3x3 matrices; derivation of specific matrix types like rotation or reflection.</li>
<li>Raising a Matrix to power n (n between -10 and 10).</li>
<li>Matrix exponentials: x = exp(A*t) * x0.</li>
<li>Markov chain calculator.</li>
<li>Calculation of correlation matrices and Principal Component Analysis (PCA).</li>
</ol>
User Interface Features:
<ul>
<li>Retains the most recent matrix entry for a specific operation and size between program sessions.</li>
<li>All input or output matrices can be saved to the clipboard for use in other applications within the app, text documents, or spreadsheets.</li>
<li>Saves matrix and linear equations entries in a table format so they are accessible after reopening the application.</li>
<li>Facilitates filling matrix entries with random numbers through various range options provided.</li>
<li>Offers solutions as fractions for many functions; eigenvalues and eigenvectors are displayed in fractions and radicals for 2x2 matrices.</li>
<li>Possibility to save tutorial items into the "My Tutorial Chapters" list along with adding comments that can be saved into the "My Comments" list for most tutorial chapters.</li>
</ul>

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