If `A_(i j)`
is the cofactor of the element `a_(i j)`
of the determinant `[[2,-3,-7], [6,0, 4],[1,5 ,7]]`
then write the value of `a_(32)dot`
`A_(32)dot`
Text Solution
Verified by Experts
Given a square matrix, the cofactor of aij is denoted by `A_(ij)=(−1)^(i+j).M^(ij)`, where `M_(ij)` is the minor of the entry `a_(ij)`
`M_(ij)=[[2,5],[6,4]]`
From the matrix, `a_(32)=5`
...
Topper's Solved these Questions
ADJOINTS AND INVERSE OF MATRIX
RD SHARMA|Exercise QUESTION|1 Videos
ALGEBRA OF MATRICES
RD SHARMA|Exercise Solved Examples And Exercises|410 Videos
Similar Questions
Explore conceptually related problems
If A_(ij) is the cofactor of the element a_(ij) of the determinant det[[2,-3,56,0,41,5,-7]], then write the value of a_(32).,A_(32).]|
If C_(ij) is the cofactor of the element a_(ij) of the determinant |{:(2,-3,5),(6,0,4),(1,5,-7):}| , then write the value of a_(32).c_(32)
If C_(ij) denotes the cofactor of the elements a_(ij) of the determinant A=|{:(2,-3,5),(6,0,4),(1,5,-7):}| then the value of a_(12)C_(12)+a_(32)C_(32) is :
Find minors and cofactors of the elements of the determinant det[[2,-3,56,0,41,5,-7]]a_(11)A_(31)+a_(12)A_(32)+a_(13)A_(33)=0
Find minors and co-factors of the elements of the determinant : |{:(2,-3,5),(6,0,4),(1,5,-7):}| and verify that a_(11)A_(31)+a_(12)A_(32)+a_(13)A_(33)=0
If A=[5 3 8 2 0 1 1 2 3] . Write the cofactor of the element a_(32) .
If A=[[2,-1,-3],[3,-4,-2],[5,2,4]] then cofactor of element a_(32) is
The elements a_(ij) of a 3xx3 matrix are given by a_(ij)=(1)/(2)|-3i+j|. Write the value of element a_(32)
Matrix A=[(1,2,3),(1,1,5),(2,4,7)] , then the value of a_(31)A_(31)+a_(32)A_(32)+a_(33)A_(33) is
Find minors and cofactors of the elements a_(11),a_(21) in the determinant Delta=det[[a_(21),a_(22),a_(23)a_(31),a_(32),a_(23)]]