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Subject:  Linear Algebra

Multiply [[1, 2], [3, 4]] · [[5, 6], [7, 8]]

Combine rows of A with columns of B to compute the product.

Answer [[19, 22], [43, 50]]

Solution

  1. Matrix A 2×2 [[1, 2], [3, 4]]
  2. Matrix B 2×2 [[5, 6], [7, 8]]
  3. Rule Each entry (i,j) is the dot product of row i of A with column j of B.
  4. Product A·B [[19, 22], [43, 50]]

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