Mathematics · Linear Algebra
Let A be an n × n real matrix. Let b be an n × 1 vector. Suppose Ax = b has no solution. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1det A = 0✓
- 2If y is the first column of A, then Ax = y has a unique solution
- 3There exist only finitely many vectors c such that Ax = c has no solution
- 4There exists an n × 1 vector c such that Ax = c has a unique solution
Correct answer
det A = 0
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