Let T : R²→ R² be alinear transformationsuch that the eigenvalues of 1are1, /2, –/2.Then themaximum number of linearlyindependent eigen vectors of 1'isSelect one:O 4ОзO 2O 1O None of these

Here, all the eigenvalues are distinct. Therefore, we have three linearly independent eigenvectors.

Let T: R2 → R² be a linear transformation such that the eigenvalues of 1 are 1, v/2, – /2. hen maximum number of linearly independent eigen vectors of I' is Select one: 4 O 3 O 2 O 1 O None of these

Let T: R2 → R² be a linear transformation such that the eigenvalues of 1 are 1, v/2, – /2. hen maximum number of linearly independent eigen vectors of I' is Select one: 4 O 3 O 2 O 1 O None of these

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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Question

Let T : R²
→ R² be a
linear transformation
such that the eigenvalues of 1
are
1, /2, –/2.
Then the
maximum number of linearly
independent eigen vectors of 1'is
Select one:
O 4
Оз
O 2
O 1
O None of these

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