3) Suppose c is a SxS matrix with rank (=2 and eigenvalues 2=0, 2=3 and 2=5. Then C is diagonalizable. A) False B) True c) Cannot determine.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Matrix Diagonalizability Question**

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**Question:**

Suppose \( C \) is a \(5 \times 5\) matrix with rank \( C = 2 \) and eigenvalues \( \lambda = 0, \lambda = 3 \), and \( \lambda = 5 \). Then \( C \) is diagonalizable.

**Options:**

A) False

B) True

C) Cannot determine
Transcribed Image Text:**Matrix Diagonalizability Question** --- **Question:** Suppose \( C \) is a \(5 \times 5\) matrix with rank \( C = 2 \) and eigenvalues \( \lambda = 0, \lambda = 3 \), and \( \lambda = 5 \). Then \( C \) is diagonalizable. **Options:** A) False B) True C) Cannot determine
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