Engineering
Mathematics
Properties of Determinant
Question
If A is a 3 × 3 matrix and det(3A) = k(detA), then k =
Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.
Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA
Solution
The non zero determinant of a scalar multiple of a n×n matrix is given by the following property.
|kA| = kn|A
⟹ |3A| = 33 |A| = 27 |A|
k = 27