For the element a₂₃ of a 3 × 3 determinant, how are its cofactor A₂₃ and minor M₂₃ related?

Determinants, Adjoint & Inverse · Question 37 of 87

Question 37

EasyOriginal question

For the element $a_{23}$ of a 3 × 3 determinant, how are its cofactor $A_{23}$ and minor $M_{23}$ related?

A_{23} = M_{23}

Correct answerYour answer

A_{23} = -M_{32}

Correct answerYour answer

A_{23} = -M_{23}

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A_{23} = a_{23}M_{23}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Worth noting

$A_{23} = M_{23}$ holds only when $i + j$ is even.

Ten questions from Determinants, Adjoint & Inverse, at your own pace.

Ten questions from Determinants, Adjoint & Inverse, at your own pace.