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

(a) 4  (b) −4  (c) ±4  (d) 0 

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Question 4 Value of k, for which A = [โ– 8(๐‘˜&8@4&2๐‘˜)] is a singular matrix is : (a) 4 (b) โˆ’4 (c) ยฑ4 (d) 0 Since A is singular matrix Determinant of A = |๐‘จ| = 0 Now, |๐ด|=|โ– 8(๐‘˜&8@4&2๐‘˜)| 0 = k(2k) โˆ’ 4 ร— 8 0 = 2k2 โˆ’ 32 32 = 2k2 2k2 = 32 k2 = 16 k = ยฑ 4 So, the correct answer is (c)

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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.