Given the following matrices A and B, find a matrix C in M3.3 so that {A, B, C} is linearly independent and a non-zero matrix D in M3.3 so that {A, B, D} is linearly dependent: 10 -10 -6 7 -1 -3 | A = -10 -8 2 B = -3 -2 7 | 8 10 -6 -1 2 7 0 0 0 0 0 0 C = 0 0 0 D = 0 0 0 ||

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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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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Given the following matrices A and B, find a matrix C in M3.3
{A, B, C} is linearly independent and a non-zero matrix D in M3 3 so
that {A, B, D} is linearly dependent:
10 -10 -6
7 -1 -3
=-10 -8
2
B =
-3 -2 7
8
10 -6
-1 2 7
0 0 0
0 0 0
C=0 0 0
D= 0 0 0
0 0 0
0 0 0
Transcribed Image Text:Given the following matrices A and B, find a matrix C in M3.3 {A, B, C} is linearly independent and a non-zero matrix D in M3 3 so that {A, B, D} is linearly dependent: 10 -10 -6 7 -1 -3 =-10 -8 2 B = -3 -2 7 8 10 -6 -1 2 7 0 0 0 0 0 0 C=0 0 0 D= 0 0 0 0 0 0 0 0 0
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