If \(P = \begin{vmatrix} 5 & 3 \\ 2 & 1 \end{vmatrix}\) and \(Q = \begin{vmatrix} 4 & 2 \\ 3 & 5 \end{vmatrix}\), find \(2P + Q\)

Answer Details

Given that P = |5321| and Q = |4235|, we need to find 2P + Q. First, we need to evaluate P and Q. The vertical bars indicate the absolute value of the number, which means the distance of the number from zero on the number line. Therefore, we have: P = |5321| = 5321 Q = |4235| = 4235 Now, we can substitute these values in 2P + Q and simplify: 2P + Q = 2(5321) + 4235 = 10642 + 4235 = 14877 Therefore, the value of 2P + Q is 14877. Hence, the answer is option B, i.e., |14877|.