We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : How to add matrices

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2 : Matrices

Simplify:

$\begin{bmatrix} 14&22\\ -3 &4 \end{bmatrix}+\begin{bmatrix} -3&12\\ 5 &-10 \end{bmatrix}$

Possible Answers:

$\begin{bmatrix} 13\\ 28 \end{bmatrix}$

$\begin{bmatrix} 11&34\\ 2 &-6 \end{bmatrix}$

$\begin{bmatrix} 17 & -5 \\ 3 & 1 \end{bmatrix}$

$\begin{bmatrix} 17&10\\ -8 &14 \end{bmatrix}$

$\begin{bmatrix} 45&-4 \end{bmatrix}$

Correct answer:

$\begin{bmatrix} 11&34\\ 2 &-6 \end{bmatrix}$

Explanation:

Matrix addition is very easy! All that you need to do is add each correlative member to each other. Think of it like this:

$\begin{bmatrix} 14&22\\ -3 &4 \end{bmatrix}+\begin{bmatrix} -3&12\\ 5 &-10 \end{bmatrix}=\begin{bmatrix} 14-3&22+12\\ -3+5 &4-10 \end{bmatrix}$

Now, just simplify:

$\begin{bmatrix} 11&34\\ 2 &-6 \end{bmatrix}$

There is your answer!

Report an Error

Example Question #13 : Find The Sum Or Difference Of Two Matrices

Simplify:

$\begin{bmatrix} -5&7\\ 102 & -12 \end{bmatrix}+\begin{bmatrix} 3&107\\ -10 & -9 \end{bmatrix}$

Possible Answers:

$\begin{bmatrix} -2&114\\ 92 & -21 \end{bmatrix}$

$\begin{bmatrix} 90\\ 93 \end{bmatrix}$

$\begin{bmatrix} -8&-100\\ 112 & -3 \end{bmatrix}$

$\begin{bmatrix} 112\\ 71 \end{bmatrix}$

$\begin{bmatrix} 112 & 71\end{bmatrix}$

Correct answer:

$\begin{bmatrix} -2&114\\ 92 & -21 \end{bmatrix}$

Explanation:

Matrix addition is really easy—don't overthink it! All you need to do is combine the two matrices in a one-to-one manner for each index:

$\begin{bmatrix} -5&7\\ 102 & -12 \end{bmatrix}+\begin{bmatrix} 3&107\\ -10 & -9 \end{bmatrix}=\begin{bmatrix} -5+3&7+107\\ 102-10 & -12-9 \end{bmatrix}$

Then, just simplify all of those simple additions and subtractions:

$\begin{bmatrix} -5+3&7+107\\ 102-10 & -12-9 \end{bmatrix}=\begin{bmatrix} -2&114\\ 92 & -21 \end{bmatrix}$

Report an Error

Example Question #1 : How To Add Matrices

What is the value of

$\begin{bmatrix}2 & 2\\ 3& -1 \end{bmatrix}$ $+\begin{bmatrix}0 &1 \\ -1& 12 \end{bmatrix}$ ?

Possible Answers:

$\begin{bmatrix} 20&21 \\ -31&-121 \end{bmatrix}$

$\begin{bmatrix} 2&1 \\ 4&11 \end{bmatrix}$

You cannot add these two matrices because their indices do not line up.

$\begin{bmatrix} 2&3 \\ 2&11 \end{bmatrix}$

$\begin{bmatrix} 0&2 \\ -3&-12 \end{bmatrix}$

Correct answer:

$\begin{bmatrix} 2&3 \\ 2&11 \end{bmatrix}$

Explanation:

To add matrices you simply add the numbers in the same position as each other.

$\begin{bmatrix}a_1 & b_1\\ c_1& d_1 \end{bmatrix}$ $+\begin{bmatrix}a_2 & b_2\\ c_2& d_2 \end{bmatrix}$ $=\begin{bmatrix} a_1+a_2&b_1+b_2 \\ c_1+c_2&d_1+d_2 \end{bmatrix}$

Plugging the given values into the above formula, we are able to solve the question.

$\begin{bmatrix}2 & 2\\ 3& -1 \end{bmatrix}$ $+\begin{bmatrix}0 &1 \\ -1& 12 \end{bmatrix}$ $=\begin{bmatrix} 2+0&2+1 \\ 3+(-1)&-1+12 \end{bmatrix}$

Report an Error

View ACT Math Tutors

Ben
Certified Tutor

Brown University, Bachelor in Arts, International Relations. Bridge Education Group, Certificate, Teaching French as a Second...

View ACT Math Tutors

Austyn
Certified Tutor

Morehead State University, Bachelor of Education, Mathematics Teacher Education. Morehead State University, Master of Arts, M...

View ACT Math Tutors

Evgenii
Certified Tutor

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

MCAT Courses & Classes in Boston, SSAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Atlanta, LSAT Courses & Classes in Denver, MCAT Courses & Classes in Phoenix, GRE Courses & Classes in Philadelphia, MCAT Courses & Classes in Philadelphia, GMAT Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in Miami, MCAT Courses & Classes in New York City

Popular Test Prep

GRE Test Prep in Houston, SSAT Test Prep in Atlanta, SSAT Test Prep in Houston, GRE Test Prep in Philadelphia, LSAT Test Prep in Philadelphia, GMAT Test Prep in Dallas Fort Worth, GMAT Test Prep in Phoenix, MCAT Test Prep in Atlanta, MCAT Test Prep in San Diego, LSAT Test Prep in Atlanta

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

ACT Math : How to add matrices

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #2 : Matrices

Example Question #13 : Find The Sum Or Difference Of Two Matrices

Example Question #1 : How To Add Matrices

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: