Matrix and Vector TI89 App with Step by Step Solutions

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Version 5.0

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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