Which of the following sets is linearly independent? *M={ (1,0,1),( 3,0,3),(0,0,0) }M={ (1,3,4),(1,2, 5) , ( 3 , 0 , 6 ) }None of theseM={ (3 , 6 ) , ( 6 , 12 ), (1,2) }

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Answered: Which of the following sets is linearly…

Which of the following sets is linearly in O M={ (1,0, 1),(3,0,3),(0, 0, O M={(1,3, 4),(1,2,5),(3 , 0 O None of these O M={ (3 , 6 ) , (6,12), (1,2) }

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

Which of the following sets is linearly independent? *
M={ (1,0,1),( 3,0,3),(0,0,0) }
M={ (1,3,4),(1,2, 5) , ( 3 , 0 , 6 ) }
None of these
M={ (3 , 6 ) , ( 6 , 12 ), (1,2) }

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