Week 3 (matrices and inverse) Flashcards

(8 cards)

1
Q

3x3 determinants

A

Its just the cross products

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2
Q

3x3 inverse

A
  1. find the determinant
  2. Find M, which has the cross product in each of there positions a1,a1, covers the first row and column
  3. Find C, which is just negative M in come spots
  4. Find C transpose, first column becomes first row
  5. 1/(det) * C transpose
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3
Q

rotation matrix

A

cos(x) -sin(x)
sin(x) cos(x)

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4
Q

reflection in y axis
dilation in y axis

A

-1 0
0 1

a 0
0 1

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5
Q

reflection in x axis
dilation in x axis

A

10
0-1

10
0a

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6
Q

shear

A

1a
01

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7
Q

vector projection

A

b1^2 b1b2

b1b2 b2^2

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8
Q

y = x

A

01
10

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