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

(a) 4  (b) −4  (c) ±4  (d) 0 

Ques 4 - Value of š‘˜, for which A = [š‘˜ 8 4 2š‘˜] is a singular matrix - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

part 2 - 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 - Class 12

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Transcript

Question 4 Value of k, for which A = [ā– 8(š‘˜&8@4&2š‘˜)] is a singular matrix is : (a) 4 (b) āˆ’4 (c) ±4 (d) 0 Since A is singular matrix Determinant of A = |š‘Ø| = 0 Now, |š“|=|ā– 8(š‘˜&8@4&2š‘˜)| 0 = k(2k) āˆ’ 4 Ɨ 8 0 = 2k2 āˆ’ 32 32 = 2k2 2k2 = 32 k2 = 16 k = ± 4 So, the correct answer is (c)

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