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参考dx11龙书 Chapter2 matrix algebra(矩阵代数)
关于矩阵的一些基本概念定理（例如矩阵加减乘法，逆矩阵，伴随矩阵，转置矩阵等）可以参考维基百科
https://zh.wikipedia.org/wiki/
XNA MATRICES
Matrix Types
在xna math中代表一个4*4的矩阵，我们使用XMMATRIX
当在类中存储数据时使用XMFLOAT4X4
用XMMatrixSet创建，原型为
XMMATRIX XMMatrixSet(FLOAT m00,FLOAT m01,FLOAT m02,FLOAT m03,
FLOAT m10,FLOAT m11,FLOAT m12,FLOAT m13,
FLOAT m20,FLOAT m21,FLOAT m22,FLOAT m23,
FLOAT m30,FLOAT m31,FLOAT m32,FLOAT m33,
);
下面是一些Matrix Functions
XMMATRIX XMMatrixIdentity();//单位矩阵
BOOL XMMatrixIsIdentity(CXMMATRIX M);//判断是否是单位矩阵
XMMATRIX XMMatrixMultiply(CXMMATRIX A,CXMMATRIX B);//矩阵相乘
XMMATRIX XMMatrixTranspose(CXMMATRIX M);//转置矩阵
XMVECTOR XMMatrixDeterminiant(CXMMATRIX M);//矩阵的行列式
XMMATRIX XMMatrixInverse(XMVECTOR *pDeteminiant,CXMMATRIX M);//逆矩阵
下面是dx11龙书给出的测试代码：
1 #include <windows.h> 2 #include <xnamath.h> 3 #include <iostream> 4 using namespace std; 5 6 ostream& operator<<(ostream &os, FXMVECTOR v) 7 { 8 XMFLOAT4 dest; 9 XMStoreFloat4(&dest, v); 10 os << "(" << dest.x << "," << dest.y << "," << dest.z << ")"; 11 return os; 12 } 13 14 ostream& operator<<(ostream &os, CXMMATRIX m) 15 { 16 for (int i = 0; i < 4; ++i) 17 { 18 for (int j = 0; j < 4; ++j) 19 { 20 os << m(i, j) << "\t"; 21 } 22 os << endl; 23 } 24 return os; 25 } 26 27 int main() 28 { 29 if (!XMVerifyCPUSupport()) 30 { 31 cout << "xna math not supported" << endl; 32 return 0; 33 } 34 XMMATRIX A(1.0f,0.0f,0.0f,0.0f, 35 0.0f,2.0f,0.0f,0.0f, 36 0.0f,0.0f,4.0f,0.0f, 37 1.0f,2.0f,3.0f,1.0f 38 ); 39 XMMATRIX B = XMMatrixIdentity(); 40 XMMATRIX C = A * B; 41 XMMATRIX D = XMMatrixTranspose(A); 42 XMVECTOR det = XMMatrixDeterminant(A); 43 XMMATRIX E = XMMatrixInverse(&det,A); 44 XMMATRIX F = A * E; 45 46 cout << "A = " << endl << A << endl; 47 cout << "B = " << endl << B << endl; 48 cout << "C = A*B = " << endl << C << endl; 49 cout << "D = transpose(A) = " << endl << D << endl; 50 cout << "det = determinant(A) = " << det << endl << endl; 51 cout << "E = inverse(A) = " << endl << E << endl; 52 cout << "F = A*E = " << endl << F << endl; 53 54 return 0; 55 }
Directx11学习笔记【六】 基本的数学知识----矩阵篇
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原文地址：http://www.cnblogs.com/zhangbaochong/p/5240358.html
