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Ex 4.6, 2 - Examine consistency 2x - y = 5, x + y = 4 - Checking consistency of equations

Ex 4.6, 2 - Chapter 4 Class 12 Determinants - Part 2

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Ex 4.6, 2 - Chapter 4 Class 12 Determinants Examine the consisteny of the system of equations 2x - y = 5 x + y = 4 2x - y = 5 x + y = 4 Step 1: Write equation as AX = B [2 -1 1 1] [x y] = [5 4] Hence, A = [2 -1 1 1], X = [x y]. B = [5 4] Step 2 Calculating |A| |A| = |2 -1 1 1| = 2(1) - 1(-1) = 2 + 1 = 3 Since |A| ≠ 0 System of equations is consistent,

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.