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

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter1: Foundations
Section1.2: Use The Language Of Algebra
Problem 1.46TI: Identify the terms in the expression 5x+2y .
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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
Transcribed Image Text: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.

Algebra homework question answer, Step 1, Image 1
Step 2

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

Algebra homework question answer, Step 2, Image 1
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
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