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  • If A and B are square matrices each of order 3 and, then the value of<img alt="|3 AB|" src="https://learn.careers360.com/latex-image/

If A and B are square matrices each of order 3 and|A| = 5, |B| = 3, then the value of|3 AB|is ______

 

 

 
 
 
 
 

Answers (1)

Given: 

|A| = 5, |B| = 3, n= 3

\\ |\mathrm{KA}|=\mathrm{K}^{\mathrm{n}}|\mathrm{A}| $ Where \mathrm{n} - order of the matrix $ \\ |3 \mathrm{AB}|=3^{3}|\mathrm{A}||\mathrm{B}| \\ |3 \mathrm{AB}|=3^{3} \times 5 \times 3$ $ \\ =27 \times 5 \times 3 =405$

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