Solve {rr}{2i}&{3}{4}&{-i} | Microsoft Math Solver

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det(\left(\begin{matrix}2i&3\\4&-i\end{matrix}\right))

Find the determinant of the matrix.

2i\left(-i\right)-3\times 4

For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.

2-3\times 4

Multiply 2i times -i.

2-12

Multiply 3 times 4.

-10

Subtract 12 from 2.

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