Module 7 Padlet by Cooper Bargabus

Module 7 Padlet

bargabusc0255 — 2017-03-15 18:35:08 UTC

Connecting Algebra and Geometry

Cooper Bargabus
Period 4

New Vocabulary

bargabusc0255 — 2017-03-15 18:36:48 UTC

Vector- line that holds two properties, direction and magnitude, doesn't go on forever

Magnitude-the size of an object being measured (refers to length in vectors)

Identity Matrix- When a matrix is operated with the identity matrix, it is equal to the original image

Inverse Matrix- When a matrix is operated with the identity matrix, it is equal to the inverse of the equation

Determinant-The number that a matrix is divided by to get it's inverse (after a and d are swapped and b and c are negative)

New Formulas

bargabusc0255 — 2017-03-15 18:44:58 UTC

Function Transformations:
f(x)=g(x)+k
f(x)=g(x+k)

Matricies:
Additive Identity: [0 0]
[0 0]
Multiplicative Identity: [1 0]
[0 1]
Multiplicative Inverse:[d -b]
[-c a]
Determinant: ad-bc

Matrix Equations:[ab][x]=[e] [cd][y] [f]

Transformation Matrices:
Ex: X-Axis Reflection
[1 0]
[0 -1]

Vectors
.Add/Subtract/Multiply by Scalar in Component Form and visuality
Magnitude: (if v=)
||v||=(square root of)a2+b2

New Concepts

bargabusc0255 — 2017-03-17 06:39:06 UTC

.Prove Quadrilaterals (side lengths/slopes)
.Function transformations (using formulas listed)
.Finding multiplicative inverse of matrices(use formula listed, making sure to find the determinant first)
.Finding the Determinant of Functions (use formula listed)
.Solving matrix Equations (use formula listed, multiply by the multiplicative inverse of the matrix)
.Determining Transformation Matrices ( multiply by matrix to find the resulting transformation)
.Writing Polygons as Matrices
.Vectors-Add/Subtract/Multiply by Scalar in Component Form and visually

How to Find the Magnitude of a Vector With Two Components : Measurements & Other Math Calculations

bargabusc0255 — 2017-03-17 06:58:08 UTC

This video was useful in explaining how to find the magnitude of the vector created by two other vectors (in the end to end method)

Example Problem

bargabusc0255 — 2017-03-17 07:03:43 UTC

bargabusc0255 — 2017-03-17 07:08:05 UTC

bargabusc0255 — 2017-03-17 07:12:19 UTC

bargabusc0255 — 2017-03-17 07:13:38 UTC