Question 10.4.1: Calculating the Determinant of a 2 × 2 Matrix Evaluate each ...

Calculating the Determinant of a 2 × 2 Matrix

Evaluate each determinant.

a. \left|\begin{array}{rr}3 & -4 \\1 & 5\end{array}\right|             b. \left|\begin{array}{rr}-2 & 3 \\4 & -5\end{array}\right|

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a. \left|\begin{array}{rr}3 & -4 \\1 & 5\end{array}\right|=(3)(5)-(-4)(1)=15-(-4)=15+4=19

b. \left|\begin{array}{rr}-2 & 3 \\4 & -5\end{array}\right|=(-2)(-5)-(3)(4)=10-12=-2

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