Check sibling questions

Ex 3.1, 7 - Find a, b, c, d from equation - Class 12 Matrices - Equal matrices

Ex 3.1, 7 - Chapter 3 Class 12 Matrices - Part 2
Ex 3.1, 7 - Chapter 3 Class 12 Matrices - Part 3

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Transcript

Ex 3.1 , 7 Find the value of a, b, c, and d from the equation: [■8(a−b&[email protected]−b&3c+d)] = [■8(−1&[email protected]&13)] Since matrices are equal. Their corresponding elements are equal a − b = −1 2a − b = 0 2a + c = 5 3c + d = 13 Solving these equations From (2) 2a − b = 0 2a = b b = 2a Solving (1) a − b = −1 Putting b = 2a a − 2a = −1 –a = −1 a = 1 Now, we know b = 2a Putting a = 1 b = 2 (1) b = 2 Solving (3) 2a + c = 5 Putting a = 1 2(1) + c = 5 2 + c = 5 c = 5 – 2 c = 3 Solving (4) 3c + d = 13 Putting c = 3 3(3) + d = 13 9 + d = 13 d = 13 – 9 d = 4 Hence a = 1, b = 2, c = 3 & d = 4

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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.