Check sibling questions


Transcript

Misc 6 Evaluate |■8(1&x&y@1&x+y&y@1&x&x+y)| |■8(1&x&y@1&x+y&y@1&x&x+y)| Applying R1→ R1 – R2 = |■8(𝟏−𝟏&x−x−y&y@1&x+y&y@1&𝑥&x+y)| = |■8(𝟎&−y&y@1&x+y&y@1&𝑥&x+y)| Applying R2→ R2 – R3 = |■8(0&−y&0@𝟏−𝟏&x+y−x&y−x−y@1&x&x+y)| = |■8(0&−y&0@𝟎&y&−x@1&𝑥&x+y)| Expanding determinant along C1 = 0 |■8(𝑦&−𝑥@𝑥&𝑥+𝑦)| – 0 |■8(−𝑦&𝑦@𝑥&𝑥+𝑦)| + 1 |■8(−𝑦&0@𝑦&−𝑥)| = 0 – 0 + 1 |■8(−𝑦&0@𝑦&−𝑥)| = (0 – 0 + 1(xy)) = xy

  1. Chapter 4 Class 12 Determinants
  2. Serial order wise

About the Author

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo