Linear Algebra

How to solve

The 2×2 determinant ad − bc measures signed area of the parallelogram spanned by the columns (and whether the matrix is invertible). For [[a,b],[c,d]] it is simply the product of the main diagonal minus the product of the off-diagonal.

Steps

  1. For [[a, b], [c, d]], form ad − bc.
  2. Watch the minus sign between the two products.
  3. Enter the resulting integer.

Example

Compute det [[3, 1], [2, 4]].

  1. ad − bc = 3 · 4 − 1 · 2 = 12 − 2 = 10.

Answer: 10

How to type answers

  • Enter an integer
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