HP 48gII Manual de usuario descargar pdf (Pagina 122)

Page 9-5

Vector-matrix multiplication, on the other hand, is not defined. This

multiplication can be performed, however, as a special case of matrix

multiplication as defined next.

Matrix multiplication

Matrix multiplication is defined by C

= A

⋅B

. Notice that matrix

multiplication is only possible if the number of columns in the first operand is

equal to the number of rows of the second operand. The general term in the

product, c

, is defined as

.,,2,1;,,2,1,

njmiforbac

kjikij

KK ==⋅=

∑

Matrix multiplication is not commutative, i.e., in general, A⋅B ≠ B⋅A.

Furthermore, one of the multiplications may not even exist. The following

screen shots show the results of multiplications of the matrices that we stored

earlier:

Term-by-term multiplication

Term-by-term multiplication of two matrices of the same dimensions is possible

through the use of function HADAMARD. The result is, of course, another

matrix of the same dimensions. This function is available through Function

catalog (

‚N

), or through the MATRICES/OPERATIONS sub-menu

(

„Ø

). Applications of function HADAMARD are presented next:

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HP 48gII Manual de usuario Pagina 122