- #1
JamesGoh
- 143
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In one of my tutorial problems, I was asked to verify if the following function
is a valid inner product
<[itex]x,y[/itex]>= [itex]x1x2 + y1y2[/itex]
Note, x=(x1,x2)[itex]^{T}[/itex] and y=(y1,y2)[itex]^{T}[/itex]
where T means transpose of the matrix
The tutor said to us the answer is no because it fails the linearity test
Does it fail the linearity test because of the x1 and y1 terms in front of the x2 and y2 ?
is a valid inner product
<[itex]x,y[/itex]>= [itex]x1x2 + y1y2[/itex]
Note, x=(x1,x2)[itex]^{T}[/itex] and y=(y1,y2)[itex]^{T}[/itex]
where T means transpose of the matrix
The tutor said to us the answer is no because it fails the linearity test
Does it fail the linearity test because of the x1 and y1 terms in front of the x2 and y2 ?