Please help me with this question on matrices. IfA- 2 1 3, then find the value of A -3A +21.1 -1 0

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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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Please help me with this question on matrices.

IfA- 2 1 3, then find the value of A -3A +21.
1 -1 0

Expert Solution

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.

Step 2

Let us now find 3A, for which multiply each element of A by 3.

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.

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