Value of k, for which A = [8(k 8 4 2k)] is a singular matrix is :

(a) 4Β  (b) βˆ’4Β  (c) Β±4Β  (d) 0Β 

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  1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Transcript

Question 4 Value of k, for which A = [β– 8(π‘˜&8@4&2π‘˜)] is a singular matrix is : (a) 4 (b) βˆ’4 (c) Β±4 (d) 0 Since A is singular matrix Determinant of A = |𝑨| = 0 Now, |𝐴|=|β– 8(π‘˜&8@4&2π‘˜)| 0 = k(2k) βˆ’ 4 Γ— 8 0 = 2k2 βˆ’ 32 32 = 2k2 2k2 = 32 k2 = 16 k = Β± 4 So, the correct answer is (c)

Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.