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Sponsor Area

Determinants

Question
CBSEENMA12034399
Wired Faculty App

space By space using space properties space of space determinants comma space show space that space space space space space space space space open vertical bar table row cell straight y plus straight k end cell straight y straight y row straight y cell space space space straight y plus straight k end cell straight y row straight y straight y cell space space straight y plus straight k end cell end table close vertical bar space equals straight k squared space left parenthesis 3 straight y plus straight k right parenthesis

Solution
straight L. straight H. straight S space space equals space space space open vertical bar table row cell straight y plus straight k end cell straight y straight y row straight y cell space space space straight y plus straight k end cell straight y row straight y straight y cell space space straight y plus straight k end cell end table close vertical bar space space space space space space space space space space space space space space space equals space open vertical bar table row cell 3 straight y plus straight k end cell straight y straight y row cell 3 straight y plus straight k end cell cell space space space straight y plus straight k end cell straight y row cell 3 straight y plus straight k end cell straight y cell space space straight y plus straight k end cell end table close vertical bar space comma space by space straight C subscript 1 space rightwards arrow space straight C subscript 1 space plus straight C subscript 2 space end subscript plus straight C subscript 3 space space space space space space space space space space space space space equals space left parenthesis 3 straight y plus straight k right parenthesis space space space space open vertical bar table row 1 straight y straight y row 1 cell space space space space straight y plus straight k end cell straight y row 1 1 cell space space straight y plus straight k end cell end table close vertical bar space space space space space space space space space space space space space equals space left parenthesis 3 straight y plus straight k right parenthesis space space open vertical bar table row 1 cell space space space straight y end cell cell space space straight y end cell row 0 cell space straight k end cell cell space space 0 end cell row 0 cell space 0 end cell cell space space straight k end cell end table close vertical bar space comma space by space straight R subscript 2 space rightwards arrow straight R subscript 2 space rightwards arrow straight R subscript 1 plus straight R subscript 3 space rightwards arrow space straight R subscript 3 space minus straight R subscript 1 space space space space space space space space space space space equals space space left parenthesis 3 straight y plus straight k right parenthesis space open square brackets table row cell left parenthesis 1 right parenthesis left parenthesis straight k right parenthesis left parenthesis straight k right parenthesis end cell end table close square brackets space space space space space space space space space space space equals space straight k squared space left parenthesis 3 straight y plus straight k right parenthesis

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