MATLAB Lecture hoolofMathematicalSciencesXiamenUniversityhttp://gdjpkc.xmu.edu.cn ts in the order 2 >>D=a(:,end); MATLAB→ Getting Started→ Matrices and Arrays→ Matrices and Magic Square The colon o 3. Array and Matrix Operations Operation MATLAB FormComments Array Addition a +b Array addition and matrix addition are identical Array Subtraction a-b Array subtraction and matrix subtration are identical Element-by-el multiplication array must be the same shape, or one of them must be a Matrix Matrix multiplication of a and b. The number of Multiplication columns in a must equal to the number of rows in b. or one of them must be a scal Righ / b a(ij)/b(1j) Division Both arrays must be the same shape, or one of them must be a scalar Left a b Element-by-element division of a and b b (ij)/b(i,j) Division Both arrays must be the same shape, or one of them nust be a scalar Matrix ght a/b DiⅤ ISion Matrix division defined by ab-I Matrix Left a\b Division Matrix division defined by a b Array Element-by-element exponentiation of a and b (i, j) u, Both arrays must be the same shape, or one of them must be a scalar > al eye[2, 2]8 obtain an identity matrix A1= 0 >>a2=[2,2;1,3]; >>al*a2 8 Matrix multiplication ans >>al.*a2 Element-by-element multiplication ans >>b1=[123];b2=[2311MATLAB Lecture 1  School of Mathematical Sciences Xiamen University  http://gdjpkc.xmu.edu.cn  Lec1­4  the elements in the order 2, 3, 1 >> D = a(:,end); MATLAB → Getting Started → Matrices and Arrays  → Matrices and Magic Square → The Colon Operator 3.  Array and Matrix Operations  Operation MATLAB Form Comments Array Addition  a + b  Array addition and matrix addition are identical.  Array Subtraction  a ­ b  Array subtraction and matrix subtration are identical.  Array  Multiplication  a .* b  Element­by­element  multiplication of a and b.  Both  array must be the same shape, or one of them must be a scalar.  Matrix  Multiplication  a * b  Matrix  multiplication of a and  b.  The number of columns in a must equal to the number of rows in b,  or one of them must be a scalar..  Array Right  Division  a ./ b  Element­by­element  division of a and b:  a(i,j)/b(i,j).  Both arrays  must be the same shape,  or one of them  must be a scalar.  Array Left  Division  a .\ b  Element­by­element  division of a and b:b(i,j)/b(i,j).  Both arrays  must be the same shape,  or one of them  must be a scalar.  Matrix  Right  Division  a / b  Matrix division defined by  1 ab- .  Matrix  Left  Division  a \ b  Matrix division defined by  1 a b - .  Array  Exponentiation  a .^ a Element­by­element  exponentiation of a and b:  ( , ) ( , ) b i j  a i j . Both arrays must be the same shape, or one of them must be a scalar.  >> a1 = eye[2,2] % obtain an identity matrix  A1 = 1  0  0  1 >> a2 = [2, 2; 1, 3];  >> a1*a2 % Matrix multiplication  ans =  2  2  1  3 >> a1.*a2  % Element­by­element multiplication  ans =  2  0  0  3 >> b1=[1 2 3]; b2=[2 3 1];