For what value of x is the matrix with rows (1-x, 2) and (18, 6-x) a singular matrix? A. Only 0 B. Only 1 C. 0 and 7 D. -3 and 10 Answer: D) -3 and 10 Explanation: (1-x)(6-x) - 36 = 0 => 6 - 7x + x² - 36 = 0 => x² - 7x - 30 = 0. (x-10)(x+3) = 0. So x = 10 or -3.

imo class 12 determinants

For what value of x is the matrix with rows (1-x, 2) and (18, 6-x) a singular matrix?

VAVidaara Admin Asked 6d ago 0 views 0 answers

For what value of x is the matrix with rows (1-x, 2) and (18, 6-x) a singular matrix?

Answer: D) -3 and 10

Explanation: (1-x)(6-x) - 36 = 0 => 6 - 7x + x² - 36 = 0 => x² - 7x - 30 = 0. (x-10)(x+3) = 0. So x = 10 or -3.