Question

To find the inverse of a matrix, which amongst the following are required?
Select one:
a. all of these
b. cofactors
c. minors
d. determinant

Answer 1

Given : To find  inverse of a matrix

To Find : which amongst the following are required

Select one:

a. all of these

b. cofactors

c. minors

d. determinant

Solution:

all of these is correct answer

if matrix A

then A⁻¹  = adj A / | A |

| A | = determinant of matrix  

if  | A | = 0 then inverse  of matrix does not exist.

adj A is adjoint of matrix

Minors and cofactors  are used to find   adjoint of matrix  

Cij  = (-1)^(i + j) Mij

Cij = Cofactor of element ij

Mij = Minor of element ij

b. cofactors

c. minors

d. determinant

all required to find inverse of matrix

Hence al of the these are required to find inverse of a matrix

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