Mathematics · Linear Algebra
Let M be a 5 × 5 matrix with real entries such that Rank(M) = 3. Consider the linear system Mx = b. Let the row-reduced echelon form of the augmented matrix [M b] be R, and let R[i, :] denote the i-th row of R. Suppose that the linear system admits a solution. Which of the following statements is necessarily true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1R[4, :] = [0 0 0 0 0 0]✓
- 2R[4, :] = [0 0 0 1 * *]
- 3R[5, :] = [0 0 1 0 * *]
- 4R[3, :] = [0 1 0 * * *]
Correct answer
R[4, :] = [0 0 0 0 0 0]
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