subject : linear algebra Q.No.2Determine whether the given spaces are subspaces or not. First give a proof generally andthen give a supporting example for each part.• s = { (x, y,z) E R³ |x+ 2y- 3z = 4}S = { (x, y,z) : x,y,z ER and x = z and x = -z}

Name: subject : linear algebra Q.No.2Determine whether the given spaces are
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Description: subject : linear algebra Q.No.2Determine whether the given spaces are subspaces or not. First give a proof generally andthen give a supporting example for each part.• s = { (x, y,z) E R³ |x+ 2y- 3z = 4}S = { (x, y,z) : x,y,z ER and x = z and x = -z}

S = { (x, y, z) | x+2y-3z = 4} Let a, b ∈ R and (x1, y1, z1), (x2, y2, z2) ∈ S Then x1+2y1-3z1 = 4…

Answered: Q.No.2 Determine whether the given…

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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subject : linear algebra

Q.No.2
Determine whether the given spaces are subspaces or not. First give a proof generally and
then give a supporting example for each part.
• s = { (x, y,z) E R³ |x+ 2y- 3z = 4}
S = { (x, y,z) : x,y,z ER and x = z and x = -z}

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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