Test 1

Question 1

is an m x n matrix closed under addition?

Answer 1

yes

Question 2

is an m x n matrix associative under addition?

Answer 2

yes

Question 3

does an m x n matrix have an identity under addition?

Answer 3

yes

Question 4

does an m x n matrix have an inverse under addition?

Answer 4

yes

Question 5

what does associative mean?

Answer 5

adding parenthesis will not change the result

Question 6

what does commutaitive mean?

Answer 6

the grouping of quantities will not change the result

Question 7

how do you multiply matricies?

Answer 7

first row by first column, numbers in the middle have to match in order to multiply

Question 8

2x2 matrix by 2x4 gets you what?

Answer 8

2x4

Question 9

is an m x n matrix closed for multiplication?

Answer 9

no

Question 10

is an m x m matrix closed for multiplication?

Answer 10

yes

Question 11

a square matrix with nonnegative entries with a sum in each row of 1

Answer 11

stochastic matrix

Question 12

a stochastic matrix is said to be _______ if some power of the matrix only has positive components

Answer 12

regular

Question 13

one unique solution where lines cross means

Answer 13

the matrix has an inverse