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Find a basis for the orthogonal complement of the subspace of R spanned by the vectors. v1 = (1,5, -5), v2 = (3, 14, 2), v3 = (1,4, 12) The basis for the row space is W1 = ( 1 )

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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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

Find a basis for the orthogonal complement of the subspace of R spanned by the vectors.
V1 = (1,5, -5), v2 = (3, 14, 2), v3 = (1, 4, 12)
The basis for the row space is
W1 = (
1 )

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