Let V = C 0 [ − 1 , 0 ] and for f and g in V , consider the mapping 〈 f , g 〉 = ∫ − 1 0 x f ( x ) g ( x ) d x . Does this define a valid inner product on V ? Show why or why not.
Let V = C 0 [ − 1 , 0 ] and for f and g in V , consider the mapping 〈 f , g 〉 = ∫ − 1 0 x f ( x ) g ( x ) d x . Does this define a valid inner product on V ? Show why or why not.
Solution Summary: The author explains how the property langle f,grangle is a valid inner product on V.
Provide an example of two distinct linear operators T1 and T2 on an inner product space V such that (given question)
Justify your answer.
Let P, be the space of all polynomials of degree at most 3. Let TF₁ P, be the
transformation T(p)-p'. (derivative of p)
Is T linear? (Explain)
Describe the image of T.
Find a polynomial that spans the kernel of T.
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Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY