Mathematics 10 — Exercise 3.5 · Q4 B

Full question

Find the adjoint of the following matrix.

[\begin{matrix} 5 & -2 \\ 3 & 7 \end{matrix}]

Step-by-step solution

Swap the two diagonal entries.
$[\begin{matrix} 7 & -2 \\ 3 & 5 \end{matrix}]$
Negate each off-diagonal entry.
$[\begin{matrix} 7 & 2 \\ -3 & 5 \end{matrix}]$

Answer

The final answer is shown below.

[\begin{matrix} 7 & 2 \\ -3 & 5 \end{matrix}]