## 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 !

Posted on Categories linear algebra

## Step by Step Linear Algebra app for the Ti-Nspire CAS CX 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 …
Posted on Categories linear algebra