Linear algebra Consider the plane x1 + 2x2 + x3O with basis S = {(-1,0,1), (–2, 1,0)}. If ()s = (2, –1), find x.O (-3, 1, 1)O (-2, 3, 2)O (1, 2, 1)O (2, -1)O (0, -1, 2)

In this question, we need to find the vector x on plane for the given condition.

Answered: Consider the plane x1 + 2x2 + x3 = 0…

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Consider the plane x1 + 2x2 + x3 = 0 with basis S = {(-1,0, 1), (-2, 1,0)}. If (x)s = (2, -1), find x %3D

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.3: Orthonormal Bases:gram-schmidt Process

Problem 71E

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Linear algebra

Consider the plane x1 + 2x2 + x3
O with basis S = {(-1,0,1), (–2, 1,0)}. If ()s = (2, –1), find x.
O (-3, 1, 1)
O (-2, 3, 2)
O (1, 2, 1)
O (2, -1)
O (0, -1, 2)

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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