To find: The mistake of the student.
EA just had written reciprocal of all the elements of the matrix.
But the inverse of the matrix is
Given information: Student wrote
Formula used: The determinant of the matrix
If the determinant of the matrix is not zero, then inverse exists.
Inverse of the matrix is,
Calculation:
Consider the matrix as,
The determinant of the matrix is,
Since, determinant is non-zero.
Hence, inverse exists.
Then inverse of the matrix is,
Therefore, the inverse of the matrix is
EA just had written reciprocal of all the elements of the matrix.
Chapter 12 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- 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