matrix-multiplication#

Purpose#

Performs matrix multiplication or scalar multiplication.

y = a * b

param a:

Left operand.

type a:

MxK matrix or scalar

param b:

Right operand.

type b:

KxN matrix or scalar

return y:

Matrix product of a and b.

rtype y:

MxN matrix

a = { 1 2,
      3 4 };
b = { 5 6,
      7 8 };
y = a * b;

y =   19.0000000   22.0000000
      43.0000000   50.0000000

a = { 1, 2, 3 };
b = { 4, 5, 6 };
y = a' * b;

y =   32.0000000

When either operand is a scalar, element-by-element multiplication is performed:

x = { 1, 2, 3 };
y = x * 10;

y =   10.0000000
      20.0000000
      30.0000000

For matrix multiplication, the number of columns in a must equal the number of rows in b.
If either operand is a scalar, element-by-element multiplication is performed (equivalent to .*).