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Ex 3.2, 22 (MCQ) - Chapter 3 Class 12 Matrices
Last updated at May 29, 2023 by Teachoo
Ex 3.2
Ex 3.2, 1
Ex 3.2, 2 (i)
Ex 3.2, 2 (ii) Important
Ex 3.2, 2 (iii)
Ex 3.2, 2 (iv)
Ex 3.2, 3 (i)
Ex 3.2, 3 (ii) Important
Ex 3.2, 3 (iii)
Ex 3.2, 3 (iv) Important
Ex 3.2, 3 (v)
Ex 3.2, 3 (vi) Important
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Ex 3.2, 7 (i)
Ex 3.2, 7 (ii) Important
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Ex 3.2, 12 Important
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Ex 3.2, 16 Important
Ex 3.2, 17 Important
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Ex 3.2, 19 Important
Ex 3.2, 20 Important
Ex 3.2, 21 (MCQ) Important
Ex 3.2, 22 (MCQ) Important You are here
Chapter 3 Class 12 Matrices
Serial order wise
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&[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&−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
