# Matrix and Vector TI89 App with Step by Step Solutions

## Solve Matrix questions stepwise using the TI89 Calculator

Version 5.0

 Option F1 Exit F2 Vectors F3 Stepwise F4 Apply F5 Do1 F6 Do2 F7 Edit/View 1 Play Yahtzee Read Intro to Vectors Find Inverse(A) Solve any 2x2 system, show steps, graph solution Read Intro to Matrices Find Norm of each  Row of A Enter Matrix A ( row-wise entry) 2 About the Author Graph vectors A or A+B Find Determinant(A) Solve any nxn system using Matrices A and B. Find k*A Find RowEchelonForm of A , show steps if desired. Enter Matrix B (row-wise entry) 3 Exit Given 2 points Rule of Sarrus(A) Analyze System A Find A+B Find Reversed RowEchelonForm of A, show steps if desired. View Matrix A 4 Find Length of A RowEchelon(A) Solve A*X=B Find A-B QR Factorization of A View Matrix B 5 Find UnitVector of A: A/|A| ReverseRef(A) Solve AX=B containing a Parameter. Checks solutions for each case. Steps Find A*B Lower Upper  Factorization of A Swap Matrix  A with B 6 Find Angle between Vector A and x-axis. A=LU Decomposition Factorization Solve AX=B containing 2 Parameters. Checks solutions for each case. Steps Find B*A Find OrthoNormal Basis of A View AT 7 Convert Vector to Polar Coordinates Cramer Rule Simplex Algorithm (A) Find Determinant(A) Nullity of A Save AT as A 8 Find Angle between Vectors A and B Solve any 2x2 system, show steps, graph solution Show Magic Squares (3x3 and 4x4) Find A-1 NullSpace of A View BT 9 Find DotProduct of A and B Solve any nxn system using Matrices A and B. Rotate Points (x,y) N degrees using Rotation matrix. Find rank(A) NullSpace Basis of A Save BT as B A Test Orthogonality Find OrthoNormal Basis of A Find  An RowSpace Basis of A Create Random Matrix A B Find CrossProduct of A and B Gram Schmidt(A) Find Trace of A Col. Space Basis of A Create Random Matrix B C Find Orthogonal Vector Diagonalization (A) Multiply Row of A Find Max of each column of A Swap 2 rows(A) D Test Independence Solve AX=B containing 1 Parameter. Checks solutions for each case. Steps Multiply Row of A and add to other row Find Mean of each column of A Swap 2 rows(B) E Distance A to B Solve AX=B containing 2 Parameters. Checks solutions for each case. Steps Multiply Row of A and subtract other row Find Median of each column of A Augment A F Project A onto B Simplex Algorithm (A) Find Conjugate of A Find Sum of each column of A Augment B G Find Distance from Point to Plane Find Eigenvalue of A Find Eigenvalue of A Find cumulative  column sum of A Select SubMatrix  of A H Find Plane Find Eigenvector of A Find Eigenvector of A Round(A) Select SubMatrix  of B I Vector Differentiation Find Square Root (A) Diagonalization(A) = P*A*P-1 Round Up(A) View Diagonal of A J Vector Integration Analytic Geometry Find Norm of A Round Down(A) View Diagonal of B K Circle/Sphere Equation Find Norm of each  Column of A Show Row Dimensions of A L Find Square Root (A) Show Column Dimensions of A M Show Row  Dimensions of B N Show Column  Dimensions of B O View A as list P View B as list Q View A in Binaries R View B in Binaries S View A in Hexadecimals T View B in Hexadecimals

2.12  Analytic Geometry

The following gives an overview of all functions in the Analytic Geometry Module:

ANALYTIC GEOMETRY

 F1: Vectors F2: Lines F3: Planes F4: Exit 1 About Vectors Find X=A+r*V Find X=A+r*V1+s*V2 Exit 2 Vector Arithmetic Check if Point P is on Line Check if Point P is on Plane 3 Length(A)=|A| Convert A+r*V to N0*(X-A) Find Plane from Normal Vector N and Point P 4 Unitvector Normal Vector Convert A+r*V1+s*V2 to N0*(X-A) 5 Angle between Vector A and x-axis 2 Lines in Plane Analysis 2 Plane Intersection Analysis 6 A in Polar Coordinates Are 2 Lines Parallel Distance from Pt. to Plane 7 Graph A or A+B Are 2 Lines in Space Distance from Pt. to Plane (alternative computation) 8 Dot Product of (A,B) Angle between 2 Lines Line and Plane in 3d Analysis 9 Test Orthogonality Distance from Pt. to Line Angle between 2 Planes A Angle between Vector A and B B Cross-Product(A,B) C Find Orthog. Vector D Distance from A to B E Projection A onto B F Test of Independence G Convert Polar Coord. (|v|,theta) to (v1,v2) rectangular Coord. H Vector Differentiation I Vector Integration J Find Tangent and Normal Vectors K Circle/Sphere Equation