Mathematics Past Questions and Answers

Given the matrix \(A = \begin{vmatrix} 3 & -2 \\ 1 & 6 \end{vmatrix}\). Find the inverse of matrix A.

Evaluate \(\frac{2\sin 30 + 5\tan 60}{\sin 60}\), leaving your answer in surd form.

Calculate 243\(_{six}\) — 243\(_{five}\) expressing your answer in base 10

If and are the roots of the equation 3x² + bx 2 = 0. Find the value of \(\frac{1}{\alpha}\) + \(\frac{1}{\beta}\)

Evaluate \(\frac{0.00000231}{0.007}\) and leave the answer in standard form