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Example 9 - Find X and Y, if  X + Y = [5 2 0 9], X - Y - Addition/ subtraction  of matrices

Example 9 - Chapter 3 Class 12 Matrices - Part 2
Example 9 - Chapter 3 Class 12 Matrices - Part 3

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Transcript

Example 9, Find X and Y , if X + Y = [■8(5&[email protected]&9)] and X – Y = [■8(3&[email protected]&−1)] It is given that X + Y = [■8(5&[email protected]&9)] X – Y = [■8(3& [email protected]&−1)] `Adding (1) and (2) (X + Y) + (X – Y) = [■8(5&[email protected]&9)] + [■8(3&[email protected]&−1)] X + X + Y – Y = [■8(5+3&2 [email protected]+0&9+( −1))] 2X = [■8(8&[email protected]&8)] X = 1/2 [■8(8&[email protected]&8)] X = [■8(8/2&8/[email protected]&8/2)] X = [■8(4&[email protected]&4)] Thus, X = [■8(4&[email protected]&4)] Putting X = [■8(4&[email protected]&4)] in (1) X + Y = [■8(5&[email protected]&9)] Y = [■8(5&[email protected]&9)] – X Y = [■8(5&[email protected]&9)] – [■8(4&[email protected]&4)] Y = [■8(5−4&2−[email protected]−0&9−4)] Y = [■8(1&−[email protected]&5)] Hence, X = [■8(4&[email protected]&4)], Y =[■8(1&−[email protected]&5)]

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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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.