There is a one-to-one correspondence between two-dimensional vectors and complex numbers. Show that the real and imaginary parts of the product z 1 z 2 * (the star denotes complex conjugate) are respectively the scalar product and ± the magnitude of the vector product of the vectors corresponding to z 1 and z 2 .
There is a one-to-one correspondence between two-dimensional vectors and complex numbers. Show that the real and imaginary parts of the product z 1 z 2 * (the star denotes complex conjugate) are respectively the scalar product and ± the magnitude of the vector product of the vectors corresponding to z 1 and z 2 .
There is a one-to-one correspondence between two-dimensional vectors and complex numbers. Show that the real and imaginary parts of the product
z
1
z
2
*
(the star denotes complex conjugate) are respectively the scalar product and
±
the magnitude of the vector product of the vectors corresponding to
z
1
and
z
2
.
Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.
If vector A = [4,1] and vector B = [-3,2] and A-B = [-1,-1]
Sketch the computation above and represent it as a vector addition
True or False: The set of all complex vectors
(z, w) such that z + 3w = 0 forms a linear
space (where z, w and scalars are all allowed to
be complex numbers).
True
O False
Express the dot product of u and v in terms of the components of the vectors.
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