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Example 12 Find AB, if A = [■8(6&9@2&3)] and B = [■8(2&6&0@7&9&8)] A = [■8(6&9@2&3)] and B = [■8(2&6&0@7&9&8)] AB = [■8(6&9@2&3)]_(2×2) 〖" " [■8(2&6&0@7&9&8)]〗_(2×3) = [■8(12+63&36+81&0+72@4+21&12+27&0+24)] = [■8(𝟕𝟓&𝟏𝟏𝟕&𝟕𝟐@𝟐𝟓&𝟑𝟗&𝟐𝟒)] = [█(█( @ ) @ @ )]_(𝟐 × 𝟑) On multiplying matrices with order 2 × 2 & 2 × 3 we get order 2 × 3

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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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo