Introduction to Matrices Assignment

Use matrix T to find the following information. Which row contains the smallest nonzero element?

2

How many elements are in matrix T?

25

How many columns does your matrix have?

3

What is the value of t34?

3.8

Which of the following sets of data would you likely represent with a square matrix? Check all that apply. A travel company wants to use a matrix to represent the number of flights of several different airlines to several different cities. A tennis club has a tournament in which each member plays every other member, and represents the scores in a matrix. A coefficient matrix is used to represent a linear system with 3 equations and 3 unknowns. The augmented matrix is used to represent a linear system with 3 equations and 3 unknowns.

B,C

What is the size of matrix T?

5x5

Which of the following statements are true? All square matrices are diagonal matrices. All diagonal matrices are square matrices. The size of any square matrix is m x m, where m is a positive integer. All coefficient matrices are square matrices.

b,c

Given matrix A below, and that A = B, find the value of the elements in B.

b11 = 9 b12 = -2 b13 = 3 b21 = 2 b22 = 17 b23 = 0 b31 = 3 b32 = 22 b33 = 8

If two matrices, A and B, are equal, which of the following statements are true? Matrix A must be a diagonal matrix. Both matrices must be square. Both matrices must be the same size. For any value of i, j: aij = bij.

c,d

Given the matrix showing flight times between cities, which of the following statements is true? The flight time from city 2 to city 4 is 2.1 hours. The flight time to return from any city is the same as the flight time to fly to that city. The matrix is square. Using one or more flights, it is possible to get from any city to any other city.

1,3,4

Use a piece of paper to create an augmented matrix to represent this linear system. 3x - 4y = 12 2x - 8y = 16 How many rows does your matrix have?

2