Mathematics 10 — Exercise 3.5 · Q1 (i)

Full question

Evaluate the determinant of the following matrix.

Step-by-step solution

1. For a 2 × 2 determinant, multiply the main diagonal and subtract the other diagonal product.

   $$D=10\times 6-5\times 4$$

2. Calculate the first diagonal product.

   $$10\times 6=60$$

3. Calculate the second diagonal product.

   $$5\times 4=20$$

4. Subtract the second product, including its sign.

   $$D=60-20$$

5. Simplify the subtraction.

   $$D=40$$

Answer

The final answer is shown below.