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Create a 3 × 3 matrix A from the 9 numbers you randomly generated. 00 86 8 75 99 22 61 72 67 2. Compute the characteristic an eigenvalue? polynomial. Is λ = 0

Create a 3 × 3 matrix A from the 9 numbers you randomly generated. 00 86 8 75 99 22 61 72 67 2. Compute the characteristic an eigenvalue? polynomial. Is λ = 0

Advanced Engineering Mathematics
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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Create a 3 × 3 matrix A from the 9 numbers you randomly generated. 00 86 8 75 99 22 61 72 67 2. Compute the characteristic polynomial. Is λ = 0 an eigenvalue? 3. From the equivalent statements theorem, what can you say about each of the following? A. Solutions of the system of equations Ax = 0 B. Solutions of the system of equations Ax →> C. The span of the column vectors of A D. The orthogonal complement of the null space of A E. The invertibility of the matrix A. -
Transcribed Image Text:Create a 3 × 3 matrix A from the 9 numbers you randomly generated. 00 86 8 75 99 22 61 72 67 2. Compute the characteristic polynomial. Is λ = 0 an eigenvalue? 3. From the equivalent statements theorem, what can you say about each of the following? A. Solutions of the system of equations Ax = 0 B. Solutions of the system of equations Ax →> C. The span of the column vectors of A D. The orthogonal complement of the null space of A E. The invertibility of the matrix A. -
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