What is a Matrix? We write .Ae Rmx:if A is an mx n matrix whose elements are real numbers. AeCmx:if A is an mx n matrix whose elements are complex numbers. 命电有这女子 Matrix Theory Matrices -6/13
What is a Matrix? We write ▸ A ∈ R m×n : if A is an m × n matrix whose elements are real numbers. ▸ A ∈ C m×n : if A is an m × n matrix whose elements are complex numbers. Of course, R m×n ⊂ C m×n . Refer to the size of a matrix, we state its number of rows and number of columns, in that order. –That is, Matrix A has two rows and two columns; we write that it is a 2 × 2 matrix and say that it is a ‘two by two’ matrix. For instance, A = ( 1 2 3 4 5 6 7 8 ) is a 2 × 4 matrix with elements a13 = 3 and a24 = 8. Matrix Theory Matrices - 6/13
What is a Matrix? We write .Ae Rmx:if A is an mx n matrix whose elements are real numbers. Ae Cmx:if A is an m x n matrix whose elements are complex numbers. Of course,Rmxn c Cmxn. 奇电有这头子 Matrix Theory Matrices -6/13
What is a Matrix? We write ▸ A ∈ R m×n : if A is an m × n matrix whose elements are real numbers. ▸ A ∈ C m×n : if A is an m × n matrix whose elements are complex numbers. Of course, R m×n ⊂ C m×n . Refer to the size of a matrix, we state its number of rows and number of columns, in that order. –That is, Matrix A has two rows and two columns; we write that it is a 2 × 2 matrix and say that it is a ‘two by two’ matrix. For instance, A = ( 1 2 3 4 5 6 7 8 ) is a 2 × 4 matrix with elements a13 = 3 and a24 = 8. Matrix Theory Matrices - 6/13