Module 7: Connecting Algebra and Geometry by Sofia Lundqvist https://padlet.com/lundqvists0334/1cnl6882r0mi By: Sofia Lundqvist en-us 2017-03-15 17:50:23 UTC 2017-03-15 18:38:16 UTC hello@padlet.com https://padlet-assets.s3.amazonaws.com/icons/Drinkingmed.png Vocab lundqvists0334 https://padlet.com/lundqvists0334/1cnl6882r0mi/wish/160344244 Area: the absolute value of the determinant
Determinant: a factor that decisively affects the nature or outcome of a matrix---ad-bc
Parallelogram: opposite sides are parallel and congruent
Rectangle: opposite sides are congruent and parallel. Has ninety degree angles and opposite reciprocal slopes
Rhombus: all sides are congruent and opposite sides are congruent and parallel
Square: has 90 degree angles, opposite reciprocal slopes, and all sides are congruent
Notation: the lower case letter with arrow on top
Addition of vectors: adding the sides to make a shortcut
Vector: a quantity that has both magnitude and direction
End-to-end: location doesn’t matter. Direction and distance matters
Additive identity: all the values of matrix is 0 [0000]
Multiplicative Identity matrix: some of the values are 1 but others are 0 in multiplication. Matric should play the role of 1--[1010]
Additive inverse: use the opposite of the first matrix so that the matrix is 0.
Multiplicative inverse: use equations
]]> 2017-03-15 18:26:54 UTC https://padlet.com/lundqvists0334/1cnl6882r0mi/wish/160344244 New formulas lundqvists0334 https://padlet.com/lundqvists0334/1cnl6882r0mi/wish/160344430 function Transformations: f(x)=g(x)+k f(x)=g(x+k) f(x)=g(x)-k f(x)=g(x-k) f(x)=-g(x) f(x)=g(-x) f(x)=kg(x) f(x)=g(kx) the purpose is to figure out where to transform the image ]]> 2017-03-15 18:27:40 UTC https://padlet.com/lundqvists0334/1cnl6882r0mi/wish/160344430 New concepts lundqvists0334 https://padlet.com/lundqvists0334/1cnl6882r0mi/wish/160344607  Additive Identity :ab over cd [0,0,0,0]
Multiplicative identity: [1,0,0,1]
Finding multiplicative inverse: 1/ad-bc then make the matrix= [d,-b, -c, a]
Finding the determinant= ad-bc
Solving Matrix equations= write them in a matrix find multiplicative inverse multiply it and then multiply that by the equations solution.
-transformation matrices for x-axis reflection [1,0,0,-1]
-vectors; add/subtract/ multiply…. //v//= the square root of a squared plus b squared.
-Prove quadrilaterals (side lengths/slopes)

]]> 2017-03-15 18:28:14 UTC https://padlet.com/lundqvists0334/1cnl6882r0mi/wish/160344607 Example lundqvists0334 https://padlet.com/lundqvists0334/1cnl6882r0mi/wish/160345078 [1 0]  [3 5 4]    [3 5 4]
[0 -1] [2 4 7]=[-2 -4 -7] reflection across x axis
]]> 2017-03-15 18:29:36 UTC https://padlet.com/lundqvists0334/1cnl6882r0mi/wish/160345078 Example Video lundqvists0334 https://padlet.com/lundqvists0334/1cnl6882r0mi/wish/160345342 This video shows a shortcut about finding the determinant]]> 2017-03-15 18:30:30 UTC https://padlet.com/lundqvists0334/1cnl6882r0mi/wish/160345342 Extra lundqvists0334 https://padlet.com/lundqvists0334/1cnl6882r0mi/wish/160346102 2017-03-15 18:32:45 UTC https://padlet.com/lundqvists0334/1cnl6882r0mi/wish/160346102