turkey-yks 2016 Q36

turkey-yks · Other · lys1-math Matrices Determinant and Rank Computation

$$A = \left[ \begin{array} { r r } 1 & 0 \\ - 1 & 3 \end{array} \right], \quad B = \left[ \begin{array} { r r } - 1 & 1 \\ 0 & m \end{array} \right]$$
The matrices satisfy the equality
$$\operatorname { det } ( A + B ) = \operatorname { det } ( A ) + \operatorname { det } ( B )$$
Accordingly, what is m?
A) - 3
B) - 1
C) 0
D) 2
E) 4

$$A = \left[ \begin{array} { r r } 1 & 0 \\ - 1 & 3 \end{array} \right], \quad B = \left[ \begin{array} { r r } - 1 & 1 \\ 0 & m \end{array} \right]$$

The matrices satisfy the equality

$$\operatorname { det } ( A + B ) = \operatorname { det } ( A ) + \operatorname { det } ( B )$$

Accordingly, what is m?\\
A) - 3\\
B) - 1\\
C) 0\\
D) 2\\
E) 4

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