Let us consider a basis vector, x=[1 2 3]
Now consider vectors ,y = [2 4 6] and z=[3 6 9]. What is your observation?
yes, the vector y is a scalar multiple of x. That is y=2x.
The vector z is a linear combination of y and x. That is z= y + 1.x. or z = 2.x +1.x. All possible linear combinations are called vector space. So the vector z and y is linearly dependent vectors.
Inner Product:
Inner Product of x and y is: 1.2 +2.4 +3.6 =28
Now consider vectors ,y = [2 4 6] and z=[3 6 9]. What is your observation?
yes, the vector y is a scalar multiple of x. That is y=2x.
The vector z is a linear combination of y and x. That is z= y + 1.x. or z = 2.x +1.x. All possible linear combinations are called vector space. So the vector z and y is linearly dependent vectors.
Inner Product:
Inner Product of x and y is: 1.2 +2.4 +3.6 =28
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