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

(a) 4  (b) −4  (c) ±4  (d) 0 


Transcript

Question 4 Value of k, for which A = [■8(𝑘&8@4&2𝑘)] is a singular matrix is : (a) 4 (b) −4 (c) ±4 (d) 0 Since A is singular matrix Determinant of A = |𝑨| = 0 Now, |𝐴|=|■8(𝑘&8@4&2𝑘)| 0 = k(2k) − 4 × 8 0 = 2k2 − 32 32 = 2k2 2k2 = 32 k2 = 16 k = ± 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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo