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Determinants

Question
CBSEENMA12034522
Wired Faculty App

Write the minors and cofactors of the elements of following determinants:
open vertical bar table row 1 cell space space 0 end cell cell space space 0 end cell row 0 cell space space 1 end cell cell space space 0 end cell row 0 cell space 0 end cell cell space space 1 end cell end table close vertical bar

Solution

Let increment space equals space open vertical bar table row 1 cell space space 0 end cell cell space space 0 end cell row 0 cell space 1 end cell cell space space 0 end cell row 0 cell space 0 end cell cell space space 1 end cell end table close vertical bar
straight M subscript 11 space equals space open vertical bar table row 1 cell space space 0 end cell row 0 cell space space space 1 end cell end table close vertical bar space equals space 1 comma space space straight A subscript 11 space equals space left parenthesis negative 1 right parenthesis to the power of 1 plus 1 end exponent space straight M subscript 11 space equals space straight M subscript 11 space equals space 1 straight M subscript 12 space equals space open vertical bar table row 0 cell space space space 0 end cell row 0 cell space space space 1 end cell end table close vertical bar space equals space 0 minus 0 space equals space 0 comma space space straight A subscript 12 space equals space 0 straight M subscript 13 space equals space open vertical bar table row 0 cell space space 1 end cell row 0 cell space space space 0 end cell end table close vertical bar space equals space 0 comma space space space space space straight A subscript 13 space equals space 0 straight M subscript 21 space equals space open vertical bar table row 0 cell space space 0 end cell row 0 cell space space 1 end cell end table close vertical bar space equals space 0 minus 0 space equals space 0 comma space space space space straight A subscript 21 space equals space left parenthesis negative 1 right parenthesis to the power of 2 plus 1 end exponent straight M subscript 21 space equals space minus straight M subscript 21 space equals space 0 straight M subscript 22 space equals space open vertical bar table row 1 cell space space space 0 end cell row 0 cell space space space 1 end cell end table close vertical bar space equals space 1 comma space space space space straight A subscript 22 space equals space left parenthesis negative 1 right parenthesis to the power of 2 plus 2 end exponent space space straight M subscript 22 space equals space straight M subscript 22 space equals space 1 straight M subscript 23 space equals space open vertical bar table row 1 cell space space space space 0 end cell row 0 cell space space space space 0 end cell end table close vertical bar space equals space 0 comma space space space straight A subscript 23 space equals space 0 straight M subscript 31 space equals space open vertical bar table row 0 cell space space space 0 end cell row 1 cell space space space 0 end cell end table close vertical bar space equals space 0 comma space space space straight A subscript 31 space equals space 0 straight M subscript 32 space equals space open vertical bar table row 1 cell space space space 0 end cell row 0 cell space space space 0 end cell end table close vertical bar space equals space 0 comma space space straight A subscript 32 space equals space 0 straight M subscript 33 space equals space space open vertical bar table row 1 cell space space space space space 0 end cell row 0 cell space space space space space 1 end cell end table close vertical bar space equals space 1 minus 0 space equals space 1 comma space space space straight A subscript 33 space equals space left parenthesis negative 1 right parenthesis to the power of 3 plus 3 end exponent space straight M subscript 33 space equals space straight M subscript 33 space equals space 1

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