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Question 4 - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at May 29, 2023 by

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 = [■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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