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Order the steps for finding A⁻¹

Exercise and reference answers

Steps
  1. Compute |A| and confirm it is not zero
  2. Find the minor of every element
  3. Attach the sign (−1)^(i+j) to each minor to get its cofactor
  4. Transpose the cofactor matrix to get adj A
  5. Divide adj A by |A| to obtain A⁻¹

Explanation

Your syllabus's route to the inverse: check the determinant is non-zero, build minors, sign them into cofactors, transpose to get the adjoint, divide. Source: syllabus Maths Part I, Ch 4 Determinants.
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