PharrellT605819 PharrellT605819
  • 25-10-2022
  • Mathematics
contestada

Calculate the determinant of this 2x2 matrix. Provide the numerical answer. |2 -1 | |4 -5|

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AmauraE51744 AmauraE51744
  • 25-10-2022

Given the matrix

[tex]\begin{bmatrix}{a} & {b} & {} \\ {c} & {d} & {}{}\end{bmatrix}[/tex]

its determinant is computed as follows:

ad - cb

In this case, the matrix is

[tex]\begin{bmatrix}{2} & {-1} & \\ {4} & -5 & {}\end{bmatrix}[/tex]

and its determinant is

2(-5) - 4(-1) = -10 - (-4) = -10 + 4 = -6

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