April 2014
Beginner to intermediate
830 pages
15h 21m
Chinese
Content preview from Mathematica 錦囊妙計
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3.6 建立置換矩陣與位移矩陣
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105
還有一些指令可以進行矩陣的變換動作。Mathematica 7 提供了
LowerTriangularize
與
UpperTriangularize
指令，可由給定的矩陣建立三角矩陣。
這兩個指令可接受整數
k
作為引數，其預設值為 0，當
k
大於 0 時，表示將對角線往上
移，相對地
k
小於零則將對角線往下移。這提供了另一個建立三對角矩陣的途徑。
延伸資訊
Mathematica 也 提 供 了 一 些 重 要 的 轉 換 矩 陣， 如
ScalingMatrix
、
RotationMatrix
與
ReflectionMatrix
等指令，使用範例請見訣竅 2.11。
3.6 建立置換矩陣與位移矩陣
問題點
你想由輸入矩陣建立其行列置換或位移的矩陣。[Page-106]
解決方案
置換矩陣是將單位矩陣的行列重新排列，它用來將另一個矩陣的行或列進行重新排列。
ch03.indd 105 2014/4/2 上午 05:19:01
106
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第三章
將第一、二列向量交換
建立將第一、二行或列向量交換的置換矩陣
將第一、二行向量交換
相對於置換矩陣能夠對行列向量進行排列動作，位移矩陣可對行列向量進行位移動作，
並將空位填上 0。位移矩 陣只有次對角元 或超對角元為 1，而其餘矩陣 元為 0，
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