$$$\left[\begin{array}{cc}x & \frac{1}{x^{5}}\\1 & - \frac{5}{x^{6}}\end{array}\right]$$$의 행렬식
관련 계산기: 여인수 행렬 계산기
사용자 입력
$$$\left|\begin{array}{cc}x & \frac{1}{x^{5}}\\1 & - \frac{5}{x^{6}}\end{array}\right|$$$을(를) 계산하세요.
풀이
2x2 행렬의 행렬식은 $$$\left|\begin{array}{cc}a & b\\c & d\end{array}\right| = a d - b c$$$입니다.
$$$\left|\begin{array}{cc}x & \frac{1}{x^{5}}\\1 & - \frac{5}{x^{6}}\end{array}\right| = \left(x\right)\cdot \left(- \frac{5}{x^{6}}\right) - \left(\frac{1}{x^{5}}\right)\cdot \left(1\right) = - \frac{6}{x^{5}}$$$
정답
$$$\left|\begin{array}{cc}x & \frac{1}{x^{5}}\\1 & - \frac{5}{x^{6}}\end{array}\right| = - \frac{6}{x^{5}}$$$A
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