Please show step-by-step solution and do not skip steps. Explain your entire process in great detail. Explain how you reached the answer you did. Problem #2: Find a 3 × 3 matrix A that has eigenvalues λ = 0, 12, -12, with corresponding eigenvectors1000Problem #2:respectively. Enter the first column of A, in order, into the answer box below, separated with commas. i.e., enterthe values of a11, 421, and a31 (in that order).

A has eigenvalues , with the corresponding eigenvectorsThe aim is to find the matrix that has the…

Answered: Find a 3 x 3 matrix A that has…

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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Please show step-by-step solution and do not skip steps. Explain your entire process in great detail. Explain how you reached the answer you did.

Problem #2: Find a 3 × 3 matrix A that has eigenvalues λ = 0, 12, -12, with corresponding eigenvectors
1
000
Problem #2:
respectively. Enter the first column of A, in order, into the answer box below, separated with commas. i.e., enter
the values of a11, 421, and a31 (in that order).

Expert Solution

Step 1: Given the information

A $3 cross times 3$ has eigenvalues $lambda equals 0 comma space 12 comma space minus 12$ , with the corresponding eigenvectors

$open curly brackets open square brackets table row 0 row 1 row cell negative 1 end cell end table close square brackets comma space open square brackets table row 1 row cell negative 1 end cell row 1 end table close square brackets comma space open square brackets table row 0 row 1 row 1 end table close square brackets close curly brackets$

The aim is to find the matrix $A$ that has the given eigenvalues and eigenvectors.