![Glencoe Algebra 2 Student Edition C2014](https://www.bartleby.com/isbn_cover_images/9780076639908/9780076639908_largeCoverImage.gif)
Find: - the additive inverse E for a matrix A and verify it.
![Check Mark](/static/check-mark.png)
Answer to Problem 12E
Additive inverse of A = -A
Explanation of Solution
Given that: - Two matrices are additive inverse if their sum is zero matrix, And a non zero matrix A.
Concept Used: - Addition of two matrices is component wise i.e. add corresponding entries together. for example:-
Additive inverse: - Let x be any number and y be additive inverse of x the x + y = y + x =0
Or x +y = 0
Additive inverse of 2 is -2 as 2 + (-2) = (-2) + 2 = 0
Also additive inverse for -5 is 5 as 5 + (-5) = (-5) + 5 = 0
Prove:- Let matrix A is a
A + B = B + A = 0 [here 0 is
So,
And
Verification:-
Or
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
Additional Math Textbook Solutions
College Algebra
PREALGEBRA
College Algebra (7th Edition)
Linear Algebra and Its Applications (5th Edition)
College Algebra
Probability and Statistics for Engineers and Scientists
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780135163078/9780135163078_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780980232776/9780980232776_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780077836344/9780077836344_smallCoverImage.gif)