Evaluate the following determinants :

$open vertical bar table row straight a cell space straight h end cell cell space space straight g end cell row straight h cell space space straight b end cell cell space space space straight f end cell row straight g cell space space straight f end cell cell space space straight c end cell end table close vertical bar$

Name: Wired Faculty - The Best Learning App
Rating: 4.6 (1864 reviews)

Solution

Let space space increment space equals space open vertical bar table row straight a cell space straight h end cell cell space space straight g end cell row straight h cell space space straight b end cell cell space space space straight f end cell row straight g cell space space straight f end cell cell space space straight c end cell end table close vertical bar space space space space space space space space space space space space equals space straight a space open vertical bar table row straight b cell space space straight f end cell row straight f cell space space straight c end cell end table close vertical bar space minus straight h space open vertical bar table row straight h cell space space space space space straight f end cell row straight g cell space space space space space straight c end cell end table close vertical bar minus straight h space open vertical bar table row straight h cell space space space space space straight f end cell row straight g cell space space space space space straight c end cell end table close vertical bar space plus straight g space space space open vertical bar table row straight h cell space space space space space straight f end cell row straight g cell space space space space space straight c end cell end table close vertical bar space space space space space space space space space space space space space equals straight a left parenthesis bc minus straight f to the power of 2 space end exponent right parenthesis space minus straight h space left parenthesis ch minus fg right parenthesis plus straight g left parenthesis hf minus bg right parenthesis space space space space space space space space space space space space space equals abc minus af squared space minus ch squared space plus fgh plus fgh minus bg squared space space space space space space space space space space space space space equals abc plus 2 fgh minus af squared space minus hg squared minus ch squared

For Daily Free Study Material Join wiredfaculty

Determinants

Some More Questions From Determinants Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction