For Δ = det[4, 1, -2; 3, 5, 0; -1, 2, 6], what is the minor M₂₂?

Determinants, Adjoint & Inverse · Question 38 of 87

Question 38

MediumOriginal question

For $\Delta = \begin{vmatrix}4 & 1 & -2 \\ 3 & 5 & 0 \\ -1 & 2 & 6\end{vmatrix}$ , what is the minor $M_{22}$ ?

19

Correct answerYour answer

21

Correct answerYour answer

22

Correct answerYour answer

26

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Delete row 2 and column 2: $M_{22} = \begin{vmatrix}4 & -2 \\ -1 & 6\end{vmatrix} = 22$ .
The cofactor is $A_{22} = (-1)^{4}M_{22} = 22$ .

Worth noting

$26$ is $M_{22}$ : the row and column were swapped.

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

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