Matrix Solver Step by Step
Linear Algebra Visual Guide
INFORMATION
- Updated:
- Version:
- 5.1
- Size:
- 6.8 MB
- Category:
- Education
- Required:
- iOS
- Rating:
- Publish:
- 2022-07-02
- Price:
- Free
- Developer:
- Yuri Morozov
WHAT'S NEW
1. Eigenvalue and Eigenvector calculation for 4x4 matrices. 2. One more step to explanation for Eigenvalue calculation with graph of polynomial function. 3. Buttons to move through matrix entry text fields. 4. Other UI improvements.
Matrix Solver Step by Step App SCREENSHOT
Matrix Solver Step by Step App DESCRIPTION
“Matrix Solver Step by Step” is a user friendly matrix calculator and a Linear Algebra learning tool. It facilitates understanding of concepts by demonstrating algorithm steps and drawing geometric references.
Functions:
1. Matrix multiplication with demonstration of steps.
2. Matrix inverse calculation with demonstration of steps.
3. Matrix determinant calculation by recursive method with demonstration of steps. Formula derived from this method is also provided.
4. Matrix determinant calculation by row reduction method with demonstration of steps.
5. Visual explanation of geometric meaning for 2×2 and 3×3 matrix determinants.
6. Matrix transformation into echelon and reduced echelon forms with demonstration of steps.
7. Solution for systems of up to 8 linear equations with demonstration of steps. Parametric equation is provided in cases of infinite number of solutions.
8. For 3 equations with 3 variables, both original equations, as well as solution steps can be visualized as planes in 3D space.
9. For 3 equations with 3 variables, graph of coefficient vectors, coefficient vector span, constant vector, and solution vector are also provided.
10. Application of 2×2 matrices to a 2D grid and with display of original and transformed images. Table of examples is provided.
11. Application of 3×3 matrices to a 3D grid with display of original and transformed images. The images can be rotated around Z axis and tilted up or down. Table of examples (such as rotation or projection) is provided.
12. 2×2 and 3×3 rotation matrices can be entered based on rotation angles. For 3×3 matrices, any sequence of rotation angles can be chosen.
13. Calculation of real and complex Eigenvalues for 2×2 matrices with demonstration of steps.
14. Calculation of real Eigenvalues for 3×3 and 4×4 matrices.
15. Calculation of real Eigenvectors for 2×2, 3×3, and 4×4 matrices.
16. Drawing of real Eigenvectors for 2×2 and 3×3 matrices.
17. Calculation of Cofactor Matrix and Adjoint Matrix with explanation.
Matrices up to 8 by 8 can be entered, as screen size allows.
Most recent matrix entry for particular operation and of specific 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.
Matrices can be transposed.
Provides links to two other apps by same developers:
1. “GraphMath” Graphing Calculator.
2. “Vectors and Planes” (and Spheres and Ellipsoids) 3D Geometry Visual Guide.
More functions and UI improvements are coming soon!
Developers hope to get feedback from users at graphmath@aol.com.