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Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 6CM: Let T:R4R2 be the linear transformation defined by T(v)=Av, where A=[10100101]. Find a basis for a...

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Book Reference :
1) Linear Algebra by Lipschutz, 4thEdition (Schaum’s outline)
2) Linear Algebra and Its Applications 5th Edition (1)

--> Solve the question properly and use the properties if it demands and mention it.

3. For the given linear map W, find a basis and the dimension of the kernel and the
image of W:
W: R3 →
R² defined by W(x,y,z) = (x + y+z, 2x + 2y + 2z)
%3D

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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