Hashing
December 7, 2023Compiler-Design
December 7, 2023Question 2397 – Linear-Algebra
If k parallel lines of a determinant Δ become identical when x=a, then ____ is a factor of Δ.
Correct Answer: D
Question 100 Explanation:
• If a determinant D vanishes for x = a, then (x – a) is a factor of D, in other words, if two rows (or two columns) become identical for x = a, then (x-a) is a factor of D.
• In general, if k rows (or k columns) become identical (x=a) when a is substituted for x, then (x-a)r-1 is a factor of D.
• In general, if k rows (or k columns) become identical (x=a) when a is substituted for x, then (x-a)r-1 is a factor of D.
(x-a)+(k+1)
(x-a)/(k-1)
(x-a)*(k+1)
(x-a)(k-1)