Question

question 32 points 1

write the formula to find the inverse of a matrix \\(a\\).

\\(a^{-1} = \frac{1}{|a|} \text{adj } a\\)

\\(a^{-1} = 0\\)

Explanation:

State the definition of a matrix inverse

Using the Matrix Inverse Formula knowledge point

$$ A^{-1} A = A A^{-1} = I $$

Express the inverse using the adjoint matrix

Using the Matrix Inverse Formula and Adjoint Matrix knowledge points

$$ A^{-1} = \frac{1}{|A|} \operatorname{adj} A $$

Answer:

• (A) \(A^{-1} = \frac{1}{|A|} \operatorname{adj} A\) (Correct answer)
• (B) \(A^{-1} = 0\)