Example 3 - Construct a 3 x 2 matrix aij = 1/2 |i - 3j| - Formation and order of matrix

  1. Chapter 3 Class 12 Matrices
  2. Serial order wise
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Example 3 Construct a 3 ร— 2 matrix whose elements are given by aij = 1/2 |๐‘–โˆ’3๐‘—|. Since it is 3 ร— 2 Matrix It has 3 rows and 2 columns Let the matrix be A where A = [โ– 8(๐‘Ž_11&๐‘Ž_12@๐‘Ž_21&๐‘Ž_22@๐‘Ž_31&๐‘Ž_32 )] Now it is given that aij = 1/2 |๐‘–โˆ’3๐‘—| Hence the required matrix is A = [โ– 8(๐‘Ž_11&๐‘Ž_12@๐‘Ž_21&๐‘Ž_22@๐‘Ž_31&๐‘Ž_32 )] = [โ– 8(1&5/2@1/2&2@0&3/2)]

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.