Mathematics · Linear Algebra

Consider the system of linear equations: x + y + 5z = 3 x + 2y + mz = 5 x + 2y + 4z = k This system is consistent if: (A) m ≠ 4 (B) k ≠ 5, m = 4 (C) m = 4, k = 1 (D) m = 4, k = 5

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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(A) and (D) only

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Consider the system of linear equations: x + y + 5z = 3 x + 2y + mz = 5 x + 2y + 4z = k This system is consistent if: (A) m &ne; 4 (B) k &ne; 5, m = 4 (C) m = 4, k = 1 (D) m = 4, k = 5