Check sibling questions

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Ex 4.6, 1 Examine the consistency of the system of equations. x + 2y = 2 2x + 3y = 3 x + 2y = 2 2x + 3y = 3 Step 1 Write equation AX = B [■8(1&[email protected]&3)] [■8(𝑥@𝑦)] = [■8([email protected])] Hence A = [■8(1&[email protected]&3)], X = [■8(𝑥@𝑦)] & B = [■8([email protected])] Step 2 Calculate |A| |A| = |■8(1&[email protected]&3)| = 3 × 1 – 2 × 2 = 3 – 4 = –1 ≠ 0 Since |A| ≠ 0 the system of equations is consistent

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.