Matrix Solver Step by Step vs EDoctronics

“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.

EDoctronics es la app de referencia para estudiantes y profesores de electrónica. Calcula, simula y aprende con herramientas interactivas diseñadas para todos los niveles. MÓDULOS INCLUIDOS Ley de Ohm Calcula voltaje, corriente, resistencia y potencia. Visualiza la fórmula paso a paso con sustitución de valores reales. Código de colores de resistencias Decodifica resistencias de 4, 5 y 6 bandas. Visualización del cuerpo de la resistencia con colores reales y rango de tolerancia. Display de 7 segmentos Simulador interactivo con modo manual, por dígito y animación automática. Incluye tabla de verdad completa para ánodo y cátodo común. Compuertas lógicas Simula AND, OR, NOT, NAND, NOR, XOR y XNOR. Diagrama visual con señales en tiempo real y tabla de verdad interactiva. Calculadora LED Calcula la resistencia limitadora de corriente para cualquier LED. Muestra la resistencia estándar E24 más cercana y la potencia disipada. SI Unidades del Sistema Internacional Convierte entre prefijos SI para las principales magnitudes eléctricas: voltaje, corriente, resistencia, capacitancia, inductancia, frecuencia y potencia. DISEÑO PENSADO PARA APRENDER - Fórmulas con sustitución de valores reales - Explicaciones en español claro - Resultados al instante sin conexión a internet - Interfaz técnica tipo plano de ingeniería EDoctronics funciona completamente sin conexión. Ideal en el taller, el laboratorio o el salón de clase.