Linear Algebra with MapleV homework8



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Ref. Homework7. MapleÀ» ÀÌ¿ëÇÏ¿© ¾Æ·¡ÀÇ Conic¿¡¼­ xy-termÀ» ¾ø¾Ö±âÀ§ÇÑ rotated¿Í Áß½ÉÀ» ¿øÁ¡¿¡ ³õ±âÀ§ÇÑ translate¸¦ °è»êÇÏ°í ±×¸²À» ±×·Á¶ó.
  1. 5x^2 - 4xy + 8y^2 + 20x/sqrt(5) - 80y/sqrt(5) + 4 = 0.
  2. 3x^2 - 8xy - 12y^2 - 30x - 60y = 0.

Ref. Homework6. ¾Æ·¡ÀÇ ¹ÌºÐ¹æÁ¤½ÄÀ» °è»êÇϰíÀÚÇÑ´Ù. À̶§ »ç¿ëÇÒ eigenvectors¿Í eigenvalues¸¦ MalpeÀ» ÀÌ¿ëÇÏ¿© ±¸ÇÏ¿©¶ó.
  1. Solve the system





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