Find the value of the determinant.
-$\left| \begin{array} { l l } \mathrm { a } & \mathrm { b } \ \mathrm { b } & \mathrm { a } \end{array} \right|$
A) $a ^ { 2 } + b ^ { 2 }$
B) $2 a b$
C) 0
D) $a ^ { 2 } - b ^ { 2 }$

Question

Quizplus · Accepted Answer

The determinant of a 2x2 matrix $\left| \begin{array} { l l } a & b \ b & a \end{array} \right|$ is calculated as $a*a - b*b = a^2 - b^2$.

Find the Value of the Determinant ∣abba∣\left| \begin{array} { l l } \mathrm { a } & \mathrm { b } \\ \mathrm { b } & \mathrm { a } \end{array} \right|​ab​ba​​

Find the Value of the Determinant $\left| \begin{array} { l l } \mathrm { a } & \mathrm { b } \\ \mathrm { b } & \mathrm { a } \end{array} \right|$