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Ex 3.2, 22 - If n = p, the order of matrix 7X - 5Z is - Ex 3.2

Ex 3.2, 22 - Chapter 3 Class 12 Matrices - Part 2

Ex 3.2, 22 - Chapter 3 Class 12 Matrices - Part 3

Ex 3.2, 22 - Chapter 3 Class 12 Matrices - Part 4

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Ex 3.2, 22 (Introduction) Assume X, Y, Z, W and P are matrices of order 2 × n, 3 × k, 2 × p, n × 3 , and p × k respectively. If n = p, then the order of the matrix 7X – 5Z is (A)p × 2 (B) 2 × n (C) n × 3 (D) p × n X =[■8(1&[email protected]&3)]_(2 × 2) 7X =[■8(7&[email protected]&21)]_(2 × 2) 7X – 5Z =[■8(7&[email protected]&21)]_(2 × 2)– [■8(0&[email protected]&5)]_(2 × 2)=[■8(7&−[email protected]−1&16)]_(2 × 2) ∴ Order of X = Order of 7X & Order of Z = Order of 5Z & Order of 7X – 5Z = Order of 7X = Order of 5Z Ex 3.2, 22 Assume X, Y, Z, W and P are matrices of order 2 × n, 3 × k, 2 × p, n × 3 , and p × k respectively. If n = p, then the order of the matrix 7X – 5Z is (A)p × 2 (B) 2 × n (C) n × 3 (D) p × n Order of matrix X = 2 × n Order of matrix 7X = 2 × n Order of matrix Z = 2 × p Order of matrix 5Z = 2 × p ∴ Order of matrix 5Z = 2 × n ∴ Order of 7X – 5Z = Order of 7X = Order of 5Z = 2 × n. Hence, correct answer is B

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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.