Find the value of the determinant

$open vertical bar table row cell negative 1 end cell cell space space space space 6 end cell cell space space minus 2 end cell row 2 cell space space 1 end cell cell space space space space space 1 end cell row 4 cell space space 1 end cell cell space space minus 3 end cell end table close vertical bar$

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 negative 1 end cell cell space space space space 6 end cell cell space space minus 2 end cell row 2 cell space space 1 end cell cell space space space space space 1 end cell row 4 cell space space 1 end cell cell space space minus 3 end cell end table close vertical bar space space space space space space space space space space space space equals space space left parenthesis negative 1 right parenthesis space open vertical bar table row 1 cell space space space space space space 1 end cell row 1 cell space space minus 3 end cell end table close vertical bar space minus 6 space open vertical bar table row 2 cell space space space space space space space 1 end cell row 4 cell space space minus 3 end cell end table close vertical bar space plus left parenthesis negative 2 right parenthesis space space open vertical bar table row 2 cell space space space 1 end cell row 4 cell space space space 1 end cell end table close vertical bar space space space space space space space space space space space space equals space space space left parenthesis negative 3 minus 1 right parenthesis minus 6 left parenthesis negative 6 minus 4 vertical line right parenthesis minus 2 left parenthesis negative 2 minus 4 right parenthesis equals 4 space plus 60 plus 4 equals 68

For Daily Free Study Material Join wiredfaculty