We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Calculus 3 : Vectors and Vector Operations

Study concepts, example questions & explanations for Calculus 3

Create An Account

All Calculus 3 Resources

6 Diagnostic Tests 373 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #7 : Matrices

Find the determinant of the matrix $A=\begin{vmatrix} 5& 2\\ 3&1 \end{vmatrix}$

Possible Answers:

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

$det\begin{vmatrix} a&b \\ c&d \end{vmatrix}=ad-bc$

For the matrix $A=\begin{vmatrix} 5& 2\\ 3&1 \end{vmatrix}$

The determinant is thus:

|A|=5-6=-1

Report an Error

Example Question #8 : Matrices

Find the determinant of the matrix $A=\begin{vmatrix} 4&4 \\4 &2 \end{vmatrix}$

Possible Answers:

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

$det\begin{vmatrix} a&b \\ c&d \end{vmatrix}=ad-bc$

For the matrix $A=\begin{vmatrix} 4&4 \\4 &2 \end{vmatrix}$

The determinant is thus:

|A|=8-16=-8

Report an Error

Example Question #1 : Matrices

Find the determinant of the matrix $A=\begin{vmatrix} 9&3 \\21 &11 \end{vmatrix}$

Possible Answers:

162

213

249

156

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

$det\begin{vmatrix} a&b \\ c&d \end{vmatrix}=ad-bc$

For the matrix $A=\begin{vmatrix} 9&3 \\21 &11 \end{vmatrix}$

The determinant is thus:

|A|=99-63=36

Report an Error

Example Question #10 : Matrices

Find the determinant of the matrix $A=\begin{vmatrix} 11&3 \\2 &4 \end{vmatrix}$

Possible Answers:

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

$det\begin{vmatrix} a&b \\ c&d \end{vmatrix}=ad-bc$

For the matrix $A=\begin{vmatrix} 11&3 \\2 &4 \end{vmatrix}$

The determinant is thus:

|A|=44-6=38

Report an Error

Example Question #601 : Vectors And Vector Operations

Find the determinant of the matrix $A=\begin{vmatrix} 10&13 \\3 &23 \end{vmatrix}$

Possible Answers:

199

191

269

Correct answer:

191

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

$det\begin{vmatrix} a&b \\ c&d \end{vmatrix}=ad-bc$

For the matrix $A=\begin{vmatrix} 10&13 \\3 &23 \end{vmatrix}$

The determinant is thus:

|A|=230-39=191

Report an Error

Example Question #602 : Vectors And Vector Operations

Find the determinant of the matrix $A=\begin{vmatrix}4 &5 \\6 &7 \end{vmatrix}$

Possible Answers:

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

$det\begin{vmatrix} a&b \\ c&d \end{vmatrix}=ad-bc$

For the matrix $A=\begin{vmatrix}4 &5 \\6 &7 \end{vmatrix}$

The determinant is thus:

|A|=28-30=-2

Report an Error

Example Question #603 : Vectors And Vector Operations

Find the determinant of the matrix $A=\begin{vmatrix} 5&0 \\ 7& 2\end{vmatrix}$

Possible Answers:

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

$det\begin{vmatrix} a&b \\ c&d \end{vmatrix}=ad-bc$

For the matrix $A=\begin{vmatrix} 5&0 \\ 7& 2\end{vmatrix}$

The determinant is thus:

|A|=10-0=10

Report an Error

Example Question #604 : Vectors And Vector Operations

Find the determinant of the matrix $A=\begin{vmatrix} 4&2 \\ 40& 20\end{vmatrix}$

Possible Answers:

120

200

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

$det\begin{vmatrix} a&b \\ c&d \end{vmatrix}=ad-bc$

For the matrix $A=\begin{vmatrix} 4&2 \\ 40& 20\end{vmatrix}$

The determinant is thus:

|A|=80-80=0

Note that the zero-value determinant means that the two columns are not lineraly independent; one can be found by multiplying the other by some value: in this case, the second column is one half of the first.

Report an Error

Example Question #605 : Vectors And Vector Operations

Find the determinant of the matrix $A=\begin{vmatrix} -5& 3\\2 &2 \end{vmatrix}$

Possible Answers:

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

$det\begin{vmatrix} a&b \\ c&d \end{vmatrix}=ad-bc$

For the matrix $A=\begin{vmatrix} -5& 3\\2 &2 \end{vmatrix}$

The determinant is thus:

|A|=-10-6=-16

Report an Error

Example Question #16 : Matrices

Find the determinant of the matrix $A=\begin{vmatrix} -8&3 \\-3 &5 \end{vmatrix}$

Possible Answers:

Correct answer:

Explanation:

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

$det\begin{vmatrix} a&b \\ c&d \end{vmatrix}=ad-bc$

For the matrix $A=\begin{vmatrix} -8&3 \\-3 &5 \end{vmatrix}$

The determinant is thus:

|A|=-40-(-9)=-31

Report an Error

View Calculus 3 Tutors

Riley
Certified Tutor

Reed College, Bachelor in Arts, Mathematics.

View Calculus 3 Tutors

Dalton
Certified Tutor

University of Massachusetts Amherst, Doctor of Philosophy, Mathematics.

View Calculus 3 Tutors

Siddharth
Certified Tutor

University of Petroleum and Energy Studies and, Masters in Business Administration, Aviation Management.

All Calculus 3 Resources

6 Diagnostic Tests 373 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Calculus Tutors in Miami, Spanish Tutors in New York City, GRE Tutors in Philadelphia, SSAT Tutors in Boston, SAT Tutors in New York City, GRE Tutors in New York City, Chemistry Tutors in Dallas Fort Worth, Chemistry Tutors in Chicago, Biology Tutors in Phoenix, English Tutors in Miami

Popular Courses & Classes

GRE Courses & Classes in San Diego, GMAT Courses & Classes in Seattle, LSAT Courses & Classes in Philadelphia, SAT Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in New York City, SAT Courses & Classes in Los Angeles, LSAT Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Los Angeles, GRE Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Boston

Popular Test Prep

SAT Test Prep in Philadelphia, GRE Test Prep in New York City, GMAT Test Prep in Seattle, ISEE Test Prep in Phoenix, LSAT Test Prep in Washington DC, GRE Test Prep in Miami, SSAT Test Prep in Boston, ISEE Test Prep in Philadelphia, ACT Test Prep in Boston, GMAT Test Prep in New York City

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Calculus 3 : Vectors and Vector Operations

Study concepts, example questions & explanations for Calculus 3

All Calculus 3 Resources

Example Questions

Example Question #7 : Matrices

Example Question #8 : Matrices

Example Question #1 : Matrices

Example Question #10 : Matrices

Example Question #601 : Vectors And Vector Operations

Example Question #602 : Vectors And Vector Operations

Example Question #603 : Vectors And Vector Operations

Example Question #604 : Vectors And Vector Operations

Example Question #605 : Vectors And Vector Operations

Example Question #16 : Matrices

All Calculus 3 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: