Question

Find minors and cofactors of all the elements of the determinant:
$open vertical bar table row 1 cell space space minus 2 end cell row 4 cell space space space 3 end cell end table close vertical bar$ .

Solution

Let $increment space equals space open vertical bar table row 1 cell space space space minus 2 end cell row 4 cell space space space space 3 end cell end table close vertical bar$
$straight M subscript 11 space equals space Minor space of space straight a subscript 11 space in space increment space equals space 3 straight A subscript 11 space equals space Cofactor space of space straight a subscript 11 space in space increment space equals space left parenthesis negative 1 right parenthesis to the power of 1 plus 1 end exponent straight M subscript 11 space equals space straight M subscript 11 space equals space 3 straight M subscript 12 space equals space Minor space of space straight a subscript 12 space in space increment space equals space 4 straight A subscript 12 space equals space Cofactor space of space straight a subscript 12 space equals space left parenthesis negative 1 right parenthesis to the power of 1 plus 2 end exponent straight M subscript 12 space equals space minus straight M subscript 12 space equals space minus 4 straight M subscript 21 space equals space Minor space of space straight a subscript 21 space in space increment space equals space minus 2 straight A subscript 21 space equals space Cofactor space of space straight a subscript 21 space in space increment space equals space left parenthesis negative 1 right parenthesis to the power of 2 plus 1 end exponent straight M subscript 21 space equals space minus straight M subscript 21 space equals space 2 straight M subscript 22 space equals space Minor space of space straight a subscript 22 space in space increment space equals 1 straight A subscript 22 space equals space Cofactor space of space straight a subscript 22 space in space increment space equals space left parenthesis negative 1 right parenthesis to the power of 2 plus 2 end exponent straight M subscript 22 space equals space straight M subscript 12 space equals space 1$

For Daily Free Study Material Join wiredfaculty

Determinants

Find minors and cofactors of all the elements of the determinant:
$open vertical bar table row 1 cell space space minus 2 end cell row 4 cell space space space 3 end cell end table close vertical bar$ .

Some More Questions From Determinants Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Location

For Daily Free Study Material Join wiredfaculty

Determinants

Find minors and cofactors of all the elements of the determinant:.

Some More Questions From Determinants Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Find minors and cofactors of all the elements of the determinant:
$open vertical bar table row 1 cell space space minus 2 end cell row 4 cell space space space 3 end cell end table close vertical bar$ .