Question

find the value of following determine minus |-1 7| |2 4|
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Answer 1

Answer:

$</p><p></p><p>if any determinant A is written as</p><p>\begin{gathered}A = \left|\begin{array}{cc}a&b\\c&d\end{array}\right|\end{gathered} </p><p>A= </p><p>∣</p><p>∣</p><p>∣</p><p>∣</p><p>∣</p><p> </p><p> </p><p>a</p><p>c</p><p> </p><p> </p><p>b</p><p>d</p><p> </p><p> </p><p>∣</p><p>∣</p><p>∣</p><p>∣</p><p>∣</p><p> </p><p> </p><p> </p><p> </p><p>then, modulus of A or, value of A is given by</p><p>multiply of a and d - multiply of b and d</p><p>e.g., |A| = ad - bc</p><p>use this concept here,</p><p></p><p>Given,</p><p>\begin{gathered}A= \left|\begin{array}{cc}-1&7\\2&4\end{array}\right|\end{gathered} </p><p>A= </p><p>∣</p><p>∣</p><p>∣</p><p>∣</p><p>∣</p><p> </p><p> </p><p>−1</p><p>2</p><p> </p><p> </p><p>7</p><p>4</p><p> </p><p> </p><p>∣</p><p>∣</p><p>∣</p><p>∣</p><p>∣</p><p> </p><p> </p><p> </p><p> </p><p>|A| = (-1) × 4 - 7 × 2 = -4 - 14 = -18</p><p>$