class 12 maths determinants

Let A be a square matrix of order 3 × 3, then $|kA|$ equal to
(A) $k|A|$

(B) ${k^2}|A|$

(C) ${k^3}|A|$

(D) $3k|A|$

VAVidaara Admin Asked 8d ago 0 views 0 answers
📘 Determinants NCERT,Ex.4.2,Q.15,Page.121 SA

Let A be a square matrix of order 3 × 3, then $|kA|$ equal to
(A) $k|A|$

(B) ${k^2}|A|$

(C) ${k^3}|A|$

(D) $3k|A|$

Official Solution

VVidaara Team ✓ Verified solution NCERT & Exemplar

Correct Answer is c

If A is a square matrix of order n, then $|kA| = {k^n}|A|,$ where k is scalar.

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