Post Utme Igbinedion University 2022 Mathematics Question 12

A binary operation \(* \cdot *\) on the set {1, 2, 3, 4, 5\} is defined as follows: \begin{align*} 1 \\({1, 2, 3, 4, 5} is defined as follows: \cdot 1 &= 1, \quad 1 \cdot \(2 = 2\), \quad 1 \cdot \(3 = 3\), \quad 1 \cdot \(4 = 4\), \quad 1 \cdot \(5 = 5\), \quad 2 \cdot \(1 = 2\), \quad 2 \cdot \(2 = 4\), \quad 2 \cdot \(3 = 6\), \quad 2 \cdot \(4 = 8\), \quad 2 \cdot \(5 = 10\), \quad 3 \cdot \(1 = 3\), \quad 3 \cdot \(2 = 6\), \quad 3 \cdot \(3 = 9\), \quad 3 \cdot \(4 = 12\), \quad 3 \cdot \(5 = 15\), \quad 4 \cdot \(1 = 4\), \quad 4 \cdot \(2 = 8\), \quad 4 \cdot \(3 = 12\), \quad 4 \cdot \(4 = 16\), \quad 4 \cdot \(5 = 20\), \quad 5 \cdot \(1 = 5\), \quad 5 \cdot \(2 = 10\), \quad 5 \cdot \(3 = 15\), \quad 5 \cdot \(4 = 20\), \quad 5 \cdot \(5 = 25\). end{align*} If \(a \\\(end{align*} If (a \cdot b = 12), what is the value of \(b \\\(), what is the value of (b \cdot a\)?