Question #41636

Compute the determinant of :
∣ ∣ ∣ −1 −4 −1 −2 ∣ ∣ ∣

Expert's answer

Answer on Question # 41636 – Math – Matrix

Compute the determinant of the matrix


(1412)\left( \begin{array}{cc} -1 & -4 \\ -1 & -2 \end{array} \right)


Solution.


1412=(1)(2)(1)(4)=24=2.\left| \begin{array}{cc} -1 & -4 \\ -1 & -2 \end{array} \right| = (-1)(-2) - (-1)(-4) = 2 - 4 = -2.


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