Question

16．计算矩阵的乘积$（\begin{array}{l}{3}&{-1}&{6}&{2}\\{-2}&{0}&{1}&{-4}\end{array}）$$（\begin{array}{l}{1}&{3}&{-2}\\{0}&{1}&{-3}\\{3}&{0}&{5}\\{2}&{-1}&{4}\end{array}）$=$[\begin{array}{l}{25}&{6}&{35}\\{-7}&{-2}&{-7}\end{array}]$．

Answer 1

分析 利用矩阵乘法法则求解．

解答 解：$（\begin{array}{l}{3}&{-1}&{6}&{2}\\{-2}&{0}&{1}&{-4}\end{array}）$$（\begin{array}{l}{1}&{3}&{-2}\\{0}&{1}&{-3}\\{3}&{0}&{5}\\{2}&{-1}&{4}\end{array}）$=$[\begin{array}{l}{25}&{6}&{35}\\{-7}&{-2}&{-7}\end{array}]$．
故答案为：$[\begin{array}{l}{25}&{6}&{35}\\{-7}&{-2}&{-7}\end{array}]$．

点评 本题考查矩阵乘积的求法，是基础题，解题时要认真审题，注意矩阵乘法法则的合理运用．