Question

State the formula of A-1​

Answer 1

The formula of A⁻¹ is  Adj(A)/|A|

We have to state the formula of inverse matrix i.e., A⁻¹.

• Inverse matrix is a type of matrix when we multiply with another matrix, it gives the multiplicative identity.  for illustration, If A is inverse matrix and another matrix B is multiply to it gives I. i.e., AB = I , then A is inverse matrix of matrix B.
• Inverse matrix can be given only by non singular matrix , |A| ≠ 0 .
• Inverse of a matrix can be given by the ratio of adjoint of that matrix to the determinant of it. i.e., A⁻¹ = Adj(A)/|A|

Therefore the formula of A⁻¹ is  Adj(A)/|A|

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