Mathematics · Linear Algebra
Suppose A and B are similar real matrices; that is, there exists an invertible matrix S such that A = SBS-1. Which of the following statements need NOT be true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The range of A is the same as the range of B.✓
- 2trace(A) = trace(B)
- 3The minimal polynomial of A is the same as the minimal polynomial of B.
- 4The transpose of A is similar to the transpose of B.
Correct answer
The range of A is the same as the range of B.
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