Find the determinant of [[5,7],[2,3]]: animated lesson

1. 1. The problem
   Worked example

   $\det \begin{bmatrix}5 & 7 \\ 2 & 3\end{bmatrix}$
2. 2. Step by step
   1. $$A = \begin{bmatrix}5 & 7 \\ 2 & 3\end{bmatrix}$$
      Read the 2×2 matrix
   2. $$\det A = (5)(3) - (7)(2) = 15 - (14) = 1$$
      Use ad − bc for a 2×2 matrix
3. 3. The answer
   $$\det A = 1$$

   det = 1

4. 4. Check
   • ✓Computed exactly with fractions; row reduction gives the same value 1.

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