Module 1

Question 1

It consists of several parts which interact with one another.

Answer 1

System

Question 2

It produces an effect our output as a result of some cause or input.

Answer 2

System

Question 3

True or False: A linear system is a system where the input is proportional to the output.

Answer 3

False

Question 4

If a system has four parts, how many linear equations and unknown variables will be present in the system of linear equations?

Answer 4

Four

Question 5

What does a linear equation in n variables look like?

Answer 5

a1x1 + a2x2 + … + anxn = b

Question 6

What does ‘a’ stand for in a linear equation?

Answer 6

Coefficient

Question 7

What does ‘x’ stand for in a linear equation?

Answer 7

Variable

Question 8

What does ‘b’ stand for in a linear equation?

Answer 8

Constant

Question 9

What does ‘a1’ stand for in a linear equation?

Answer 9

Leading Coefficient

Question 10

What does ‘x1’ stand for in a linear equation?

Answer 10

Leading Variable

Question 11

What does the set of solutions to a system of linear equations look like?

Answer 11

s1, s2, s3, …, sn

Question 12

Determine if the following equation is linear or not:

3x + 2y = 7

Answer 12

Linear Equation

Question 13

Determine if the following equation is linear or not:

(1/2)x - (pi)y = sqrt(2)

Answer 13

Linear Equation

Question 14

Determine if the following equation is linear or not:

e^x - y = 4

Answer 14

Not a Linear Equation (x cannot be a power of a constant.)

Question 15

Determine if the following equation is linear or not:

sin(pi) - y = e

Answer 15

Linear Equation

Question 16

Determine if the following equation is linear or not:

1/x + y = 5

Answer 16

Non-linear equation (x is essentially raised to the power of negative 1.)

Question 17

What is the first indicator that an equation is linear?

Answer 17

X and Y’s degree is 1

Question 18

What is the second indicator that an equation is linear?

Answer 18

If a and b are real numbers.

Question 19

What is the third indicator that an equation is linear?

Answer 19

There are no products between variables.

Question 20

What do you call a linear system with no solution?

Answer 20

Inconsistent

Question 21

If a linear system has one solution, what is the system called?

Answer 21

Consistent

Question 22

If all x1 until xn is equal to zero, what is the solution called?

Answer 22

Trivial Solution

Question 23

What do you call the solution to a system where not all of x1 until xn is equal to zero?

Answer 23

Nontrivial Solution

Question 24

If two systems of linear equations have the same solutions, what are they called?

Answer 24

Equivalent

Question 25

In this type of elimination, you apply elementary row operations to a matrix to obtain a new row-echelon form.

Answer 25

Gaussian Elimination

Question 26

In this type of elimination, you further deconstruct the row-echelon form until it becomes a reduced row-echelon form.

Answer 26

Gauss-Jordan Elimination

Question 27

This is an array of numbers.

Answer 27

Matrix

Question 28

This is the main window located in MATLAB.

Answer 28

Command Window

Question 29

This window records the commands you issued in the command window.

Answer 29

Command History

Question 30

This window keeps track of the variables you have defined as you execute commands in the command window.

Answer 30

Workspace Window

Question 31

This window lists all the files in the active directory.

Answer 31

Current Folder Window