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Linear-Algebra · Matrix-Multiplication

[[1,1],[1,2],[1,3]] * [[1],[2]]

\left[\begin{matrix}1 & 1\\1 & 2\\1 & 3\end{matrix}\right] \left[\begin{matrix}1\\2\end{matrix}\right]

Nzọụkwụ site n'ụdị

  1. \left[\begin{matrix}1 & 1\\1 & 2\\1 & 3\end{matrix}\right] \left[\begin{matrix}1\\2\end{matrix}\right]

    A 3×2 times a 2×1 gives a 3×1 matrix. Entry (i, j) is row i of A dotted with column j of B.

  2. c_{11} = (1)(1) + (1)(2) = 3

  3. c_{21} = (1)(1) + (2)(2) = 5

  4. c_{31} = (1)(1) + (3)(2) = 7

  5. AB = \left[\begin{matrix}3\\5\\7\end{matrix}\right]

Gosi nzaghachi
AB = \left[\begin{matrix}3\\5\\7\end{matrix}\right]