Check sibling questions

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&2@0&9)] and X – Y = [■8(3&6@0&−1)] It is given that X + Y = [■8(5&2@0&9)] X – Y = [■8(3& 6@0&−1)] `Adding (1) and (2) (X + Y) + (X – Y) = [■8(5&2@0&9)] + [■8(3&6@0&−1)] X + X + Y – Y = [■8(5+3&2 +6@0+0&9+( −1))] 2X = [■8(8&8@0&8)] X = 1/2 [■8(8&8@0&8)] X = [■8(8/2&8/2@0&8/2)] X = [■8(4&4@0&4)] Thus, X = [■8(4&4@0&4)] Putting X = [■8(4&4@0&4)] in (1) X + Y = [■8(5&2@0&9)] Y = [■8(5&2@0&9)] – X Y = [■8(5&2@0&9)] – [■8(4&4@0&4)] Y = [■8(5−4&2−4@0−0&9−4)] Y = [■8(1&−2@0&5)] Hence, X = [■8(4&4@0&4)], Y =[■8(1&−2@0&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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.