Introduction to Matrices Answers

20 verified answers
3

Does your matrix look like the one above? Check all that apply.

Question illustration
A
My matrix is the same size.
B
My matrix has the same values for each corresponding element.
10

Given the matrix showing flight times between cities, which of the following statements is true?

A
The flight time from city 2 to city 4 is 2.1 hours.
B
The flight time to return from any city is the same as the flight time to fly to that city.
C
The matrix is square.
D
Using one or more flights, it is possible to get from any city to any other city.
14

Which of the following sets of data would you likely represent with a square matrix? Check all that apply.

A
A travel company wants to use a matrix to represent the number of flights of several different airlines to several different cities.
B
A tennis club has a tournament in which each member plays every other member, and represents the scores in a matrix.
C
A coefficient matrix is used to represent a linear system with 3 equations and 3 unknowns.
D
The augmented matrix is used to represent a linear system with 3 equations and 3 unknowns.
15

If two matrices, A and B, are equal, which of the following statements are true?

A
Matrix A must be a diagonal matrix.
B
Both matrices must be square.
C
Both matrices must be the same size.
D
For any value of i, j: aij = bij.
16

Given matrix A below, and that A = B, find the value of the elements in B. A = 9 −2 3 2 17 0 3 22 8

Answers:
Blank 1:9
Blank 2:-2
Blank 3:3
Blank 4:2
Blank 5:17
Blank 6:0
Blank 7:3
Blank 8:22
Blank 9:8
17

Which of the following statements are true?

A
All square matrices are diagonal matrices.
B
All diagonal matrices are square matrices.
C
The size of any square matrix is m x m, where m is a positive integer.
D
All coefficient matrices are square matrices.

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