Mathematics · Linear Algebra
Let T : ℝ4 → ℝ4 be a linear transformation and the null space of T be the subspace of ℝ4 given by { (x1, x2, x3, x4) ∈ ℝ4 : 4x1 + 3x2 + 2x3 + x4 = 0 }.
If Rank(T - 3I) = 3, where I is the identity map on ℝ4, then the minimal polynomial of T is:
If Rank(T - 3I) = 3, where I is the identity map on ℝ4, then the minimal polynomial of T is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1x 2 (x - 3) 2
- 2x 3 (x - 3)
- 3x(x - 3) 3
- 4x(x - 3)✓
Correct answer
x(x - 3)
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