TiNspire: CoFactors , Determinant , A as Product of Elementary Matrices

To Find a Determinant given CoFactors in a Row use Linear Algebra Made Easy at www.TiNspireApps.com and enter your quadratic Matrix and selected Row as follows:

When selecting Row2 we get the following CoFactors and of course the same determinant:

To Express a quadratic Matrix as a Product of Elementary Matrices we simply keep track of the RREF Operations when finding its Inverse Matrix. See below:

and finally

Voila !

Step by Step Linear Algebra app for the Ti-Nspire CAS CX

lametns

Overview and Examples : https://youtu.be/uqIRhvqqVDE

Perform 30+ Matrix Computations such as A+B, A-B, k*A, A*B, B*A, A-1, det(A), Eigenvalues, LU and QR – Factorization, Norm, Trace.

  • Step by Step – Simplex Algorithm.
  • Step by Step – Gaussian Elimination.
  • Step by Step – Find Inverse
  • Step by Step – Find Determinant
  • Step by Step – Row Echelon and Reversal (REF and RREF)
  • Step by Step – Gauss and Gauss Jordan Elimination
  • Step by Step – Cramer Rule
  • Step by Step – EigenValues and EigenVectors.
  • Step by Step – Square Root Matrix
  • Solve any n by n system of equations.
  • Rotation Matrices, Magic Squares and much more.
  • Step by Step – Solve AX=B
  • Step by Step – OrthoNormal Basis
  • Step by Step – Range, Kernel
  • Nullity, Null-, Row- and ColumnSpace Basis.
  • Cross and Dot Product, UnitVector, Angle between Vectors
  • Projection A onto B, Distance A to B, etc …