Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

If every element of a third order determinant of value Δ is multiplied by 5, then the value of new determinant, is

Options:

Δ

25Δ

125Δ

Correct Answer:

125Δ

Explanation:

Let $A=[a_{ij}]$ be a square matrix of order n, then $|kA|=k^n|A|$

we get value of new determinant as $5^3Δ=125Δ$