Solve the matrix equation for X.-1 -2 -42 1-4Let A =2 00and B =011B4B - 4A = X%3D1-22 02-12 -12 0-8 1 1[ 4 8 -8%3D-8 4 44 8 -8-12 -12 0-8 1 14 8 -8-12-12 0-12-12 0-8 4 44 8-8

Now, we need to find the expression X = 4B - 4A. So, X=4B-4A =4-1-2-4 011 202-421-4 200…

Answered: Solve the matrix equation for X. -1 -2…

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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Related questions

Question

Solve the matrix equation for X.
-1 -2 -4
2 1-4
Let A =2 00
and B =
011B
4B - 4A = X
%3D
1-2
2 02
-12 -12 0
-8 1 1
[ 4 8 -8
%3D
-8 4 4
4 8 -8
-12 -12 0
-8 1 1
4 8 -8
-12-12 0
-12-12 0
-8 4 4
4 8-8

Expert Solution

Step 1

Now, we need to find the expression X = 4B - 4A.

So,

$X = 4 B - 4 A = 4 (\begin{matrix} - 1 & - 2 & - 4 \\ 0 & 1 & 1 \\ 2 & 0 & 2 \end{matrix}) - 4 (\begin{matrix} 2 & 1 & - 4 \\ 2 & 0 & 0 \\ 1 & - 2 & 4 \end{matrix}) = (\begin{matrix} - 4 & - 8 & - 16 \\ 0 & 4 & 4 \\ 8 & 0 & 8 \end{matrix}) - (\begin{matrix} 8 & 4 & - 16 \\ 8 & 0 & 0 \\ 4 & - 8 & 16 \end{matrix}) = (\begin{matrix} - 12 & - 12 & 0 \\ - 8 & 4 & 4 \\ 4 & 8 & - 8 \end{matrix})$