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

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.7: Problem Solving: Consecutive Integers
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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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