InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
if determinant `|{:( cos (theta + phi),,-sin (theta+phi),,cos 2phi),(sin theta,,cos theta,,sin phi),(-cos theta,,sintheta,,cos phi):}|` isA. non-negativeB. independent of 0C. independent of `phi`D. none of these |
|
Answer» Correct Answer - A::B Applying `R_(1) to R_(1) +sin phi (R_(2)) +cos phi (R_(3))` `f(x)= Delta = |{:(0,,0,,cos 2phi+1),(sin0,,cos0,,sinphi),(-cos phi,,sin 0 ,,cos phi):}|` `=(cos 2phi + 1) (sin^(2) 0+ cos^(2) 0)` `=(1+cos 2phi)` Hence `Delta` is independent of 0 |
|