Question

Find the value of the determinant

Answer 1

Answer:

$| \frac{ \frac{1}{2} }{ \frac{3}{4} } \frac{ \frac{ - 2}{3} }{ \frac{ - 4}{5} } | \\ d = (\frac{1}{2} \times \frac{ - 4}{5} ) - ( \frac{ - 2}{3} \times \frac{ 3}{4} ) \\ \: \: \: \: = ( \frac{ - 4}{10} ) - ( \frac{ - 6}{12} ) \\ \: \: \: \: = \frac{ - 4}{10} - \frac{ - 6}{12} \\ \: \: \: \: = \frac{ - 48 - ( - 60)}{120} \\ \: \: \: \: = \frac{ - 48 + 60}{120} \\ \: \: \: \: = \frac{12}{120} \\ \: \: \: \: = \frac{1}{10}$

The answer is 1/10

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