For both of the questions below, \(A\) is a proper subset of \(U\).

1. Given the universal set \(U=\{\) red, orange, yellow, green, blue, indigo, violet \(\}\) and set \(A=\{\) yellow, red, blue \(\}\), find \(A^{\prime}\).

2. Given the universal set \(U=\{c \mid c\) is a cat \(\}\) and set \(A=\{c \in U \mid c\) is not a lion \(\}\), find \(A^{\prime}\).