Question

$W = \lbrace p \in \Pi_{5}(\Omega) : p'(−1) + p' (1) = 0 \rbrace $. Prove that $W$ is a subspace of $Π_5(\Omega)$.

score 38 · Answer 1 · 2026-03-28 03:28:56

38

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$W = \lbrace p \in \Pi_{5}(\Omega) : p'(−1) + p' (1) = 0 \rbrace $. Prove that $W$ is a subspace of $Π_5(\Omega)$.

Published on 28 Mar 2026 - 3:28

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25

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194

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123

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score 162 · Answer 7 · 2018-02-23 00:24:21

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Show that $\phi(x_i)^\top\phi(x_j)=x_i^\top V_kV_k^\top x_j$ where $\phi(x)=(v_1^\top x,\ldots, v_k^\top x)^\top$

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38

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77

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List Question

$W = \lbrace p \in \Pi_{5}(\Omega) : p'(−1) + p' (1) = 0 \rbrace $. Prove that $W$ is a subspace of $Π_5(\Omega)$.

Need help to verify an equation

Confused with vector space concepts in general

Span(S + T) ⊇ Span(S) + Span(T)

Equivalence of Two Norm and Infinity Norm

Why does transforming a 2-D shape defined by a 2xn matrix using a Singular Transformation Matrix always result in a line?

Does this set of polynomials span the vector space?

Ordinary Differential Equation with 3 unknowns

Show that $\phi(x_i)^\top\phi(x_j)=x_i^\top V_kV_k^\top x_j$ where $\phi(x)=(v_1^\top x,\ldots, v_k^\top x)^\top$

Multiplying matrix by row of zeros results in zeros in column

Difficulty in proving a result based on linear transformation

Verify equivalent definitions for vector spaces

Elementary Linear Algebra Proof

Show that the matrix $cA+B$ is not invertible

Given $a, b ∈\Bbb R$, evaluate

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