Engineering
Mathematics
Introduction to Determinants
Question
If A is a 3 × 3 matrix and det(3A) = k(detA), then k =
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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
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