Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Please help me with this question on matrices.
![IfA- 2 1 3, then find the value of A -3A +21.
1 -1 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9f41a83-9e41-4cec-b773-8e61bc09ff04%2F57b4c169-c63a-418a-92e1-15e34d42166e%2Fz5w5djk.png&w=3840&q=75)
Transcribed Image Text:IfA- 2 1 3, then find the value of A -3A +21.
1 -1 0
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
We first find A2, for which we multiply A with itself. We perform matrix multiplication in which we multiply rows of first matrix with columns of second matrix element by element and add.
![Algebra homework question answer, Step 1, Image 1](https://content.bartleby.com/qna-images/answer/b9f41a83-9e41-4cec-b773-8e61bc09ff04/965973ae-b8ed-4e26-8b4e-9852f5f2234c/7b43vil.png)
Step 2
Let us now find 3A, for which multiply each element of A by 3.
![Algebra homework question answer, Step 2, Image 1](https://content.bartleby.com/qna-images/answer/b9f41a83-9e41-4cec-b773-8e61bc09ff04/965973ae-b8ed-4e26-8b4e-9852f5f2234c/0rhix4c.png)
Step 3
Now, to find 2I we consider the identity matrix of order 3x3 and multiply its each element by 2. We take order 3x3 to match with the order of A2 and 3A.
![Algebra homework question answer, Step 3, Image 1](https://content.bartleby.com/qna-images/answer/b9f41a83-9e41-4cec-b773-8e61bc09ff04/965973ae-b8ed-4e26-8b4e-9852f5f2234c/bx802o8.png)
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