Unit 3

Question 1

Transpose

Answer 1

a function that swaps rows and cols

Question 2

symbol for transpose

Answer 2

a vector to the power of T

Question 3

what is V^T)^T equal to

Answer 3

V

Question 4

what is L^T equal to

Answer 4

U and vise versa

Question 5

what is P^T *P equal to

Answer 5

PP^T and Identity

Question 6

what is P^T equal to

Answer 6

P^-1

Question 7

what is (A*B)^T equal to

Answer 7

B^T A^T

Question 8

what is norm

Answer 8

the sum of every item in a vector squared then square rooted

Question 9

notation for norm of v

Answer 9

||V||

Question 10

what is a scalar value (lowercase alpha) multiplied by the norm of a vector

Answer 10

the norm of the vector multiplied by scalar value

Question 11

what is norm squared of v

Answer 11

V^t * V

Question 12

what is the error

Answer 12

e(x) and the goal is to make it as small as possible

Question 13

notation for best approx of x

Answer 13

x*

Question 14

what is required to find the best fit line of x

Answer 14

columns of a must be linearly independent

Question 15

meaning of e(x) being 0

Answer 15

means that the system has a unique solution

Question 16

Steps in detemining least squared

Answer 16

1. decide which model to fit
2. convert to least squares Ax= b–> phi alpha = y
3. solve using LU or inverse

Question 17

what is phi

Answer 17

matrix of x values and the coefficients of b

Question 18

what is lowercase alpha

Answer 18

unknowns