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New Concepts:

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)

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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

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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

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Distance, displacement, speed and velocity. Difference between vectors and scalars.