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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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Question 4 Value of k, for which A = [β– 8(π‘˜&[email protected]&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‘˜&[email protected]&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)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.