Question

Show that $open vertical bar table row cell straight a plus straight b plus 2 straight c end cell straight a straight b row straight c cell space space space space space straight b plus straight c plus 2 straight a end cell straight b row straight c straight a cell space space straight c plus straight a plus 2 straight b end cell end table close vertical bar$

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 cell straight a plus straight b plus 2 straight c end cell straight a straight b row straight c cell space space space space space straight b plus straight c plus 2 straight a end cell straight b row straight c straight a cell space space straight c plus straight a plus 2 straight b end cell end table close vertical bar space space space space space space space space space space space space space equals space open vertical bar table row cell 2 left parenthesis straight a plus straight b plus straight c right parenthesis end cell straight a straight b row cell 2 left parenthesis straight a plus straight b plus straight c right parenthesis space space space end cell cell straight b plus straight c plus straight a end cell straight b row cell 2 left parenthesis straight a plus straight b plus straight c right parenthesis end cell straight a cell space space space space straight c plus straight a plus 2 straight b end cell end table close vertical bar space comma space by space straight C subscript 1 space plus straight C subscript 2 space plus space straight C subscript 3 Taking space out space common space 2 left parenthesis straight a plus straight b plus straight c right parenthesis space from space straight C subscript 1 space space space space space space space space space space space space equals space 2 left parenthesis straight a plus straight b plus straight c right parenthesis space open vertical bar table row 1 straight a straight b row 1 cell space space space space straight b plus straight c plus 2 straight a end cell straight b row 1 straight a cell space space straight c plus straight a plus 2 straight b end cell end table close vertical bar space space space space space space space space space space space equals space 2 left parenthesis straight a plus straight b plus straight c right parenthesis space open vertical bar table row 1 straight a straight b row 0 cell space space space space straight a plus straight b plus straight c end cell 0 row 0 0 cell space space straight a plus straight b plus straight c end cell end table close vertical bar space comma space by space straight R subscript 2 minus straight R subscript 1 comma space straight R subscript 3 minus straight R subscript 1 space space space space space space space space space space space equals 2 space left parenthesis straight a plus straight b plus straight c right parenthesis space open square brackets table row cell left parenthesis 1 right parenthesis left parenthesis straight a plus straight b plus straight c right parenthesis left parenthesis straight a plus straight b plus straight c right parenthesis end cell end table close square brackets space space space space space space space space space space space equals space 2 left parenthesis straight a plus straight b plus straight c right parenthesis cubed

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