Vectors and Planes vs Matrix

Vectors and Planes App helps visualize and understand 3D linear and quadric structures and their intersections. List of linear structures and combinations: 1. Two vector combination. 2. Plane. 3. Line and plane combination. 4. Two plane combination. 5. Three plane combination. Current list of quadric structures: 1. Two sphere combination. 2. Standard ellipsoid. 3. Ellipsoid in a form of positive-definite matrix. 4. Standard cone. 5. Cone in a form of indefinite matrix. 6. 1-sheet hyperboloid. 7. 1-sheet hyperboloid in a form of indefinite matrix. 8. 2-sheet hyperboloid. 9. 2-sheet hyperboloid in a form of indefinite matrix. 10. Standard cylinder. 11. Cylinder in a form of positive-semidefinite matrix. 12. Hyperbolic paraboloid. 13. Elliptic paraboloid. Current list of combinations of quadric and linear structures: 1. Matrix ellipsoid and line. 2. Standard ellipsoid and plane. 3. Matrix ellipsoid and plane. 4. Matrix cone and line. 5. Standard cone and plane. 6. 1-sheet hyperboloid in matrix form and line. 7. 2-sheet hyperboloid in matrix form and line. 8. Matrix cylinder and line. 9. Elliptic paraboloid and line. 10. Hyperbolic paraboloid and line. Interactive 3D graphs are provided for all of the above. Step by step calculation algorithms are provided for all intersection point sets. Many of the algorithms are based on Linear Algebra concepts. Those, in turn, are explained in our “Matrix Solver Step by Step” app. Version 10 was completely redesigned. Developers hope to get feedback from users at graphmath@aol.com.

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!