Example 3 Construct a 3 × 2 matrix whose elements are given by aij = 1/2 |𝑖−3𝑗|. Since it is 3 × 2 Matrix It has 3 rows and 2 columns Let the matrix be A where A = [■8(𝒂_𝟏𝟏&𝒂_𝟏𝟐@𝒂_𝟐𝟏&𝒂_𝟐𝟐@𝒂_𝟑𝟏&𝒂_𝟑𝟐 )] Now it is given that aij = 𝟏/𝟐 |𝒊−𝟑𝒋| Hence the required matrix is A = [■8(𝑎_11&𝑎_12@𝑎_21&𝑎_22@𝑎_31&𝑎_32 )] = [■8(𝟏&𝟓/𝟐@𝟏/𝟐&𝟐@𝟎&𝟑/𝟐)]

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.