Linear Algebra - Matrix Explorer is a comprehensive and easy to use app to explore matrices. It is inspired by Gilbert Strangs book "Introduction to Linear Algebra" and by the course 18.06 taught at MIT. The app is designed and written from the ground up by a seasoned college math professor.
Matrix Explorer includes an intuitive and easy to use interface:
- support for matrices up to 6 by 6
- stores an unlimited number of matrices*
- synced in a secure cloud so that all your matrices are accessible across all your devices
Computations include
- Solve systems of equations. App gives unique solution, infinitely many solutions, and if the system is inconsistent, the app gives the least squares solution!
- Row Echelon Form (REF) and Row Reduced Echelon Form (RREF)
- Both REF and RREF features a step-by-step elimination process showing all row operations together with the elementary matrices (exact arithmetic!)
- Fundamental Spaces: Bases for the four fundamental subspaces (Row Space, Column Space, Nullspace, and Left-Nullspace), a geometric description as well as the projection matrices for each of these subspaces
- Matrix Properties: including dimension, determinant, rank, nullity, left-nullity, invertibility, symmetry, positive definiteness
- Related Matrices: Inverse matrix, AA^T, A^TA, and (AA^T)^-1 and (A^TA)^-1 as applicable
- LU and LDU Decomposition or PA=LU / PA=LDU as applicable
Advanced Computations (NEW!) *
- QR Decomposition (in exact form!)
- Computation of Eigenvalues and Eigenvectors (available in exact form for some matrices)
- Singular Value Decomposition (SVD) also available in exact form for some matrices
- Cholesky Factorization (if applicable)
- Diagonalization (or orthogonal diagonlization if applicable)
*some features require an active subscription to Linear Algebra +
Get the most out of the app by subscribing to Linear Algebra +.
Try the Linear Algebra + subscription FREE for 1 week, then pay monthly thereafter. New subscribers only; credit card required and automatic monthly charges apply after free trial.
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