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CBSE Class 12-science Answered

using properties of determinatns prove that b+c          a                   a b             c+a                 b               = 4abc c               c                   a+b
Asked by haroonrashidgkp | 10 Apr, 2018, 08:31: PM
Expert Answer
begin mathsize 16px style open vertical bar table row cell straight b plus straight c end cell straight a straight a row straight b cell straight c plus straight a end cell straight b row straight c straight c cell straight a plus straight b end cell end table close vertical bar straight R subscript 1 rightwards arrow straight R subscript 1 minus straight R subscript 2 open vertical bar table row straight c cell negative straight c end cell cell straight a minus straight b end cell row straight b cell straight c plus straight a end cell straight b row straight c straight c cell straight a plus straight b end cell end table close vertical bar straight R subscript 1 rightwards arrow straight R subscript 1 plus straight R subscript 3 open vertical bar table row cell 2 straight c end cell 0 cell 2 straight a end cell row straight b cell straight c plus straight a end cell straight b row straight c straight c cell straight a plus straight b end cell end table close vertical bar equals 2 open vertical bar table row straight c 0 straight a row straight b cell straight c plus straight a end cell straight b row straight c straight c cell straight a plus straight b end cell end table close vertical bar straight R subscript 2 rightwards arrow straight R subscript 2 minus straight R subscript 3 space 2 open vertical bar table row straight c 0 straight a row cell straight b minus straight c end cell straight a cell negative straight a end cell row straight c straight c cell straight a plus straight b end cell end table close vertical bar straight R subscript 2 rightwards arrow straight R subscript 2 plus straight R subscript 1 space 2 open vertical bar table row straight c 0 straight a row straight b straight a 0 row straight c straight c cell straight a plus straight b end cell end table close vertical bar straight R subscript 3 rightwards arrow straight R subscript 3 minus straight R subscript 1 space 2 open vertical bar table row straight c 0 straight a row straight b straight a 0 row 0 straight c straight b end table close vertical bar equals 4 abc end style
Answered by Arun | 11 Apr, 2018, 10:29: AM

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