Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : How to subtract matrices

Study concepts, example questions & explanations for ACT Math

CREATE AN ACCOUNT Create Tests & Flashcards

Home Embed

All ACT Math Resources

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

Example Questions

Example Question #5 : Find The Difference Of Two Matrices

Given the following matrices, what is the product of and ?

$\begin{bmatrix} 1&-4 \\ 2&x \end{bmatrix} - \begin{bmatrix} y&4 \\ 8&1 \end{bmatrix} = \begin{bmatrix} -8&-8 \\ -6&4 \end{bmatrix}$

Possible Answers:

Correct answer:

Explanation:

When subtracting matrices, you want to subtract each corresponding cell.

$\begin{bmatrix} 1-y&-4-4 \\ 2-8&x-1 \end{bmatrix}= \begin{bmatrix} -8&-8 \\ -6&4 \end{bmatrix}$

Now solve for and

x-1=4

x=5

1-y=-8

y=9

xy = 45

Report an Error

Example Question #6 : Find The Difference Of Two Matrices

If $\begin{bmatrix} a&b\\ c&d \end{bmatrix} + \begin{bmatrix} 3&14\\ 12&4 \end{bmatrix} = \begin{bmatrix} 19&2\\ 4&5 \end{bmatrix}$ , what is a+b+c+d ?

Possible Answers:

Correct answer:

Explanation:

You can treat matrices just like you treat other members of an equation. Therefore, you can subtract the matrix

$\begin{bmatrix} 3&14\\ 12&4 \end{bmatrix}$

from both sides of the equation. This gives you:

$\begin{bmatrix} a&b\\ c&d \end{bmatrix}=\begin{bmatrix} 19&2\\ 4&5 \end{bmatrix}-\begin{bmatrix} 3&14\\ 12&4 \end{bmatrix}$

Now, matrix subtraction is simple. You merely subtract each element, matching the correlative spaces with each other:

$\begin{bmatrix} a&b\\ c&d \end{bmatrix} = \begin{bmatrix} 19-3&2-14\\ 4-12&5-4 \end{bmatrix}$

Then, you simplify:

$\begin{bmatrix} 19-3&2-14\\ 4-12&5-4 \end{bmatrix} = \begin{bmatrix} 16&-12\\ -8&1 \end{bmatrix}$

Therefore, a+b+c+d = 16-12-8+1=-3

Report an Error

Example Question #1091 : Algebra

$\begin{bmatrix} 0&5 \\ 3&4 \end{bmatrix} - \begin{bmatrix} 2&-1 \\ 4& 3 \end{bmatrix}$

Possible Answers:

$\begin{bmatrix} -4&6 \\ 1&-1 \end{bmatrix}$

$\begin{bmatrix} -2&6 \\ -1& 1 \end{bmatrix}$

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

$\begin{bmatrix} -2&6 \\ 1&-1 \end{bmatrix}$

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

Correct answer:

$\begin{bmatrix} -2&6 \\ -1& 1 \end{bmatrix}$

Explanation:

When subtracting matrices, subtracting component-wise.

$\begin{bmatrix} 0&5 \\ 3&4 \end{bmatrix} - \begin{bmatrix} 2&-1 \\ 4& 3 \end{bmatrix}=$

$\begin{bmatrix} 0-2&5-(-1)) \\ 3-4& 4-3 \end{bmatrix}=$

$\begin{bmatrix} -2&6 \\ -1&1 \end{bmatrix}$

Report an Error

Example Question #1092 : Algebra

If $\begin{bmatrix} 12& 14\\ -4 & -2 \\ 3 & 3 \end{bmatrix}- \begin{bmatrix} 9& -1\\ 4 & -5 \\ 6 & -9 \end{bmatrix}=\begin{bmatrix} a&b\\c&d\\e&f\end{bmatrix}$ , then what is the value of a+f ?

Possible Answers:

Correct answer:

Explanation:

Match each term from the first matrix with the corresponding number from the second matrix and subtract.

$\begin{bmatrix} 12 -9 & 14 - (-1) \\ -4 -4 & -2-(-5) \\ 3-6 & 3-(-9) \end{bmatrix}$

Simplify.

$\begin{bmatrix} 12 -9 & 14 - (-1) \\ -4 -4 & -2-(-5) \\ 3-6 & 3-(-9) \end{bmatrix} = \begin{bmatrix} 3& 15 \\ -8 & 3 \\ -3 & 12 \end{bmatrix}$

Each of the numbers in the matrix solution now corresponds to the letters, a through f. Add a (upper left) and f (lower right).

a+f=3+12=15

Report an Error

View ACT Math Tutors

Emily
Certified Tutor

University of Colorado Boulder, Bachelor of Science, Applied Mathematics.

View ACT Math Tutors

Elizabeth
Certified Tutor

University of Michigan-Ann Arbor, Bachelor of Engineering, Mechanical Engineering.

View ACT Math Tutors

Kurtis
Certified Tutor

Olivet Nazarene Unversity, Bachelors, Social Science Education.

All ACT Math Resources

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

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 subtract matrices

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #5 : Find The Difference Of Two Matrices

Example Question #6 : Find The Difference Of Two Matrices

Example Question #1091 : Algebra

Example Question #1092 : Algebra

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

FIND THE BEST TUTORS

Email address:
Your name:

Email address:
Your name:
Feedback: