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
Answers
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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