Let A be a 3 x 3 matrix so that: (i) Ax = 0 has exactly two basic solutions. %3D (ii) A – 31 has rank 2. Use this information to answer the following questions. (a) Find dim null(A-31), and determine the number of basic solutions to (A- 31)x = 0. (b) Is A diagonalizable? Explain.
Let A be a 3 x 3 matrix so that: (i) Ax = 0 has exactly two basic solutions. %3D (ii) A – 31 has rank 2. Use this information to answer the following questions. (a) Find dim null(A-31), and determine the number of basic solutions to (A- 31)x = 0. (b) Is A diagonalizable? Explain.
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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Transcribed Image Text:Let A be a 3 × 3 matrix so that:
(i) Ax = 0 has exactly two basic solutions.
(ii) A – 31 has rank 2.
Use this information to answer the following questions.
(a) Find dim null(A 31), and determine the number of basic solutions to (A- 31)x = 0.
(b) Is A diagonalizable? Explain.
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