Mathematics · Linear Algebra
Let T : ℝ4 → ℝ4 be a linear transformation with characteristic polynomial (x - 2)4 and minimal polynomial (x - 2)2. Which of the following can be the Jordan canonical form of T?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1[2 0 0 0] [1 2 0 0] [0 1 2 0] [0 0 0 2]
- 2[2 0 0 0] [0 2 0 0] [0 0 2 0] [0 0 0 2]
- 3[2 0 0 0] [0 2 0 0] [0 0 2 0] [0 0 1 2]
- 4[2 0 0 0] [1 2 0 0] [0 0 2 0] [0 0 1 2]✓
Correct answer
[2 0 0 0] [1 2 0 0] [0 0 2 0] [0 0 1 2]
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