Check sibling questions

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

This video is only available for Teachoo black users

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

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

This video is only available for Teachoo black users

Introducing your new favourite teacher - Teachoo Black, at only ₹83 per month


Transcript

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&0@2&3)]_(2 × 2) 7X =[■8(7&0@14&21)]_(2 × 2) 7X – 5Z =[■8(7&0@14&21)]_(2 × 2)– [■8(0&10@15&5)]_(2 × 2)=[■8(7&−10@−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

Davneet Singh's photo - Co-founder, Teachoo

Made by

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.