ZanyiahF777951 ZanyiahF777951
  • 25-10-2022
  • Mathematics
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Calculate the determinant of this 2x2 matrix. Provide the numerical answer. 2 -14 - 5

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KonnerS445866 KonnerS445866
  • 25-10-2022
Determinant of a matrix

In order to find the determinant we just multiply the diagonals

Then we substract the second result to the first:

[tex]\begin{gathered} \begin{bmatrix}{2} & {-1} & {} \\ {4} & {-5} & {} \\ & {} & {}\end{bmatrix}=2\cdot(-5)-4\cdot(-1) \\ =-10-\mleft(-4\mright)=-10+4 \\ =-6 \end{gathered}[/tex]

Answer: the determinant of this 2x2 matrix is -6

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