MATH 152 Memorize

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projection about a line

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1

projection about a line

use direction vector

<p><strong>use direction vector</strong></p>
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2

reflection about a line formula

2Proj - Identity

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3

how to check if a matrix is a reflection (reflection transformation)

If your matrix resembles this then you can try:

a²+b²=1

if true = reflection

<p>If your matrix resembles this then you can try:</p><p>a²+b²=1</p><p>if true = reflection</p>
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4

det(2B) how to calculate?

2^n * det(B) where n = rows/size

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5

linearly independant gaussian format

staircase of 1’s

can have totally 0 row

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6

probability at infinity

Px = x (P = transition matrix)

x+y=1

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7

proving linear transformations (formulas)

T(x+y)=T(x)+T(y)

T(cx)=cT(x)

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8

signage and junctions: resistor networks

Resistors: current touches positive side of resistor → positive

Battery: current touches negative side → negative

Current coming in - opposing current

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9

ccw rotation

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10

cw rotation

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11

reflection angle matrix

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12

projection angle matrix

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13

matrix multiplication requirements

#cols A = #rows B

row by col

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