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What is a vector in MATLAB?

A collection of strings

A two-dimensional array of numbers

An array with only non-zero elements

A one-dimensional array of numbers (correct)

How can a column vector be created in MATLAB?

By defining the vector as a function of another vector

By enclosing numbers in rectangular brackets and separating them by commas

By using the transpose operator on a row vector

By enclosing a set of semicolon delimited numbers in square brackets (correct)

What does scalar multiplication of a vector entail?

Subtracting a scalar from each component of the vector

Multiplying each component of the vector by a scalar value (correct)

Adding a vector to itself a number of times

Creating a new vector with fewer components

Which of the following correctly creates a row vector in MATLAB?

Both B and C Signup and view all the answers

What is the outcome of transposing a column vector?

It becomes a row vector with the same elements Signup and view all the answers

Which MATLAB command would yield 'b' as defined in the content?

b = 3 * a; Signup and view all the answers

What does the MATLAB transpose operator look like?

It is represented by a single quote (’) Signup and view all the answers

What is the primary reason MATLAB is useful for linear algebra?

It has exceptional capabilities for handling arrays of numbers Signup and view all the answers

What MATLAB command would you use to convert Fahrenheit temperatures stored in an array called temps to Celsius?

CelsiusTemps = (5/9) * (temps - 32) Signup and view all the answers

Which of the following is a correct way to end a MATLAB session?

Type 'quit' in the command window Signup and view all the answers

If the variable y has not been assigned a value, which of the following operations will MATLAB allow?

x = y ^ 2 Signup and view all the answers

What will MATLAB return when you define the temperatures in the temps array as temps = [32, 50, 65, 70, 85] and then enter 'TemperatureData' in the command window?

The list of temperatures in the array Signup and view all the answers

How is the volume of a cylinder calculated in MATLAB if the height is h and the radius is r?

V = π * r^2 * h Signup and view all the answers

What result will MATLAB return when you compute the sine of $\frac{\pi}{3}$?

$\frac{\sqrt{3}}{2}$ Signup and view all the answers

What is the correct way to store and access an array of data in MATLAB?

Write it and save it in an M-file for later use Signup and view all the answers

When you create an M-file called TemperatureData.m, how should you access the data within it in MATLAB?

Simply type TemperatureData Signup and view all the answers

What is the determinant of the coefficient matrix A in the given system of equations?

6 Signup and view all the answers

If a system of equations has more unknowns than equations, how is the system classified?

Underdetermined Signup and view all the answers

What happens to the number of solutions when the determinant of the coefficient matrix A equals 0?

There are infinite solutions. Signup and view all the answers

In the example system, if y can assume any value, how can x and z be expressed in terms of y?

x = 3 - 7y; z = -5y Signup and view all the answers

Which of the following statements about a square coefficient matrix is true for finding an inverse?

The matrix must be non-singular. Signup and view all the answers

What is the role of the pseudoinverse in systems of equations?

To provide the minimum norm solution when the determinant is zero. Signup and view all the answers

After finding x = inv(A) * b, what are the resulting values of x?

-1 and -4 Signup and view all the answers

What does an underdetermined system imply regarding variable determination?

Some variables are free to take any value. Signup and view all the answers

What does the syntax x = [xi : q : xe] accomplish in MATLAB?

It generates a vector with uniformly spaced elements. Signup and view all the answers

What will be the output of the command x = [0:0.1:1]?

A list of floating-point numbers from 0 to 1 with a step of 0.1. Signup and view all the answers

What command is used in MATLAB to add a grid to a plot?

grid on Signup and view all the answers

Which command would result in a matrix error in MATLAB?

y = x^2 Signup and view all the answers

What does the 'axis square' command do in MATLAB?

Makes the plot square-shaped Signup and view all the answers

How do you create a decrementing vector from 100 to 80 with an increment of -5?

u = [100:-5:80] Signup and view all the answers

If you want the axis limits in MATLAB to be set automatically, which command should you use?

axis auto Signup and view all the answers

What does the command linspace(a,b) do?

It generates 100 regularly spaced elements between a and b. Signup and view all the answers

What is the purpose of the 'axis equal' command in MATLAB?

To maintain equal proportions between length and width Signup and view all the answers

If you want to create a vector containing values between 0 and 10 with a spacing of 2, which command is correct?

x = [0:2:10] Signup and view all the answers

When plotting using 'plot(x, y), grid on, axis equal', what aspect of the plot will be notably different from using only 'plot(x, y), grid on'?

The spacing on the axes Signup and view all the answers

What is the result of y = x^2 when x is a vector?

It returns an error because x is not a square matrix. Signup and view all the answers

Which of the following functions was used to create the y-values in the example given?

y = exp(-1.2*x).sin(10x + 5) Signup and view all the answers

How do you create a row vector of n regularly spaced elements between a and b in MATLAB?

Using the command linspace(a,b,n). Signup and view all the answers

What does the command 'plot(x,y)' accomplish in MATLAB?

Generates a two-dimensional plot of y against x Signup and view all the answers

Which command can be used to explore different styles of plots in MATLAB?

axis command Signup and view all the answers

What is the primary purpose of using the fplot function in MATLAB?

To automatically determine the number of plotting points Signup and view all the answers

What error occurs when using 'exp(-t)*sin(t)' in MATLAB?

Inner matrix dimensions must agree Signup and view all the answers

Which command adds titles and labels to a plot generated by fplot?

title('Damped Spring Forcing'), xlabel('t'), ylabel('f(t)') Signup and view all the answers

When defining a function to avoid errors in MATLAB, what character is necessary before the multiplication symbol?

. Signup and view all the answers

What should the correct syntax be to define the function f for plotting using the exponential and sine functions?

f = exp(-2t) . sin(t); Signup and view all the answers

How is the plot function called to visualize the function f between 0 and 4?

plot([0:0.01:4], f) Signup and view all the answers

What does the argument 'function string' in the fplot function specify?

The mathematical expression to plot Signup and view all the answers

If we wanted to plot the function f(t) = e^{-2t}sin(t), which of the following would be the correct fplot command to use?

fplot('exp(-2*t)*sin(t)', [0, 4]) Signup and view all the answers

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Questions and Answers

What is a vector in MATLAB?

How can a column vector be created in MATLAB?

What does scalar multiplication of a vector entail?

Which of the following correctly creates a row vector in MATLAB?

What is the outcome of transposing a column vector?

Which MATLAB command would yield 'b' as defined in the content?

What does the MATLAB transpose operator look like?

What is the primary reason MATLAB is useful for linear algebra?

What MATLAB command would you use to convert Fahrenheit temperatures stored in an array called temps to Celsius?

Which of the following is a correct way to end a MATLAB session?

If the variable y has not been assigned a value, which of the following operations will MATLAB allow?

What will MATLAB return when you define the temperatures in the temps array as temps = [32, 50, 65, 70, 85] and then enter 'TemperatureData' in the command window?

How is the volume of a cylinder calculated in MATLAB if the height is h and the radius is r?

What result will MATLAB return when you compute the sine of $\frac{\pi}{3}$?

What is the correct way to store and access an array of data in MATLAB?

When you create an M-file called TemperatureData.m, how should you access the data within it in MATLAB?

What is the determinant of the coefficient matrix A in the given system of equations?

If a system of equations has more unknowns than equations, how is the system classified?

What happens to the number of solutions when the determinant of the coefficient matrix A equals 0?

In the example system, if y can assume any value, how can x and z be expressed in terms of y?

Which of the following statements about a square coefficient matrix is true for finding an inverse?

What is the role of the pseudoinverse in systems of equations?

After finding x = inv(A) * b, what are the resulting values of x?

What does an underdetermined system imply regarding variable determination?

What does the syntax x = [xi : q : xe] accomplish in MATLAB?

What will be the output of the command x = [0:0.1:1]?

What command is used in MATLAB to add a grid to a plot?

Which command would result in a matrix error in MATLAB?

What does the 'axis square' command do in MATLAB?

How do you create a decrementing vector from 100 to 80 with an increment of -5?

If you want the axis limits in MATLAB to be set automatically, which command should you use?

What does the command linspace(a,b) do?

What is the purpose of the 'axis equal' command in MATLAB?

If you want to create a vector containing values between 0 and 10 with a spacing of 2, which command is correct?

When plotting using 'plot(x, y), grid on, axis equal', what aspect of the plot will be notably different from using only 'plot(x, y), grid on'?

What is the result of y = x^2 when x is a vector?

Which of the following functions was used to create the y-values in the example given?

How do you create a row vector of n regularly spaced elements between a and b in MATLAB?

What does the command 'plot(x,y)' accomplish in MATLAB?

Which command can be used to explore different styles of plots in MATLAB?

What is the primary purpose of using the fplot function in MATLAB?

What error occurs when using 'exp(-t)*sin(t)' in MATLAB?

Which command adds titles and labels to a plot generated by fplot?

When defining a function to avoid errors in MATLAB, what character is necessary before the multiplication symbol?

What should the correct syntax be to define the function f for plotting using the exponential and sine functions?

How is the plot function called to visualize the function f between 0 and 4?

What does the argument 'function string' in the fplot function specify?

If we wanted to plot the function f(t) = e^{-2t}sin(t), which of the following would be the correct fplot command to use?

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