Find a 3 x 3 matrix • The vectors V₁ = satisfying the following properties: • A has two eigenvalues: A₁ = -3 and X₂ 3] 3 -3 and V₂ H -2 are eigenvectors of A corresponding to X₁. • The vector V3 = How to enter matrices. = then you should do it as follows: A = = -3. Enter the matrix A: a11 a12 a13 a21 a22 a23 a31 a32 a33 2 -3 is an eigenvector of A corresponding to A2. Martices should be entered row by row, enclosing each row in square brackets. There must be additional square brackets at the beginning and at the end of the whole matrix. For example, if you want to enter the matrix 2 [8 MIN HIN Do not forget about commas between matrix entries and between rows. A 2 [[2, -3/2, 4], [0, 1/2, 2]]
Find a 3 x 3 matrix • The vectors V₁ = satisfying the following properties: • A has two eigenvalues: A₁ = -3 and X₂ 3] 3 -3 and V₂ H -2 are eigenvectors of A corresponding to X₁. • The vector V3 = How to enter matrices. = then you should do it as follows: A = = -3. Enter the matrix A: a11 a12 a13 a21 a22 a23 a31 a32 a33 2 -3 is an eigenvector of A corresponding to A2. Martices should be entered row by row, enclosing each row in square brackets. There must be additional square brackets at the beginning and at the end of the whole matrix. For example, if you want to enter the matrix 2 [8 MIN HIN Do not forget about commas between matrix entries and between rows. A 2 [[2, -3/2, 4], [0, 1/2, 2]]
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
![Find a 3 x 3 matrix
• The vectors V₁ =
satisfying the following properties:
• A has two eigenvalues: A₁ = -3 and X₂
3]
3
-3 and V₂
H
-2 are eigenvectors of A corresponding to X₁.
• The vector V3 =
How to enter matrices.
=
then you should do it as follows:
A =
= -3.
Enter the matrix A:
a11 a12 a13
a21 a22 a23
a31 a32 a33
2
-3 is an eigenvector of A corresponding to A2.
Martices should be entered row by row, enclosing each row in square brackets. There must be additional square brackets at the beginning
and at the end of the whole matrix. For example, if you want to enter the matrix
2
[8
MIN HIN
Do not forget about commas between matrix entries and between rows.
A
2
[[2, -3/2, 4], [0, 1/2, 2]]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb493ecdd-cbdc-400d-a05a-de2010eb2d52%2Fafed3968-d76e-49b3-b566-8bc95a8249bd%2Fr88yni_processed.png&w=3840&q=75)
Transcribed Image Text:Find a 3 x 3 matrix
• The vectors V₁ =
satisfying the following properties:
• A has two eigenvalues: A₁ = -3 and X₂
3]
3
-3 and V₂
H
-2 are eigenvectors of A corresponding to X₁.
• The vector V3 =
How to enter matrices.
=
then you should do it as follows:
A =
= -3.
Enter the matrix A:
a11 a12 a13
a21 a22 a23
a31 a32 a33
2
-3 is an eigenvector of A corresponding to A2.
Martices should be entered row by row, enclosing each row in square brackets. There must be additional square brackets at the beginning
and at the end of the whole matrix. For example, if you want to enter the matrix
2
[8
MIN HIN
Do not forget about commas between matrix entries and between rows.
A
2
[[2, -3/2, 4], [0, 1/2, 2]]
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