Let $T : P_2(x) o P_2(x)$ be a linear transformation on vector space $P_2(x)$ (polynomials of degree $\le 2$ over $\mathbb{R}$) such that $T(f(x)) …

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Let $T : P_2(x) 	o P_2(x)$ be a linear transformation on vector space $P_2(x)$ (polynomials of degree $\le 2$ over $\mathbb{R}$) such that $T(f(x)) = \dfrac{d}{dx}(f(x))$. Then the matrix of $T$ w.r.t. basis ${1, x, x^2}$ is:

Aspire Faculty · Accepted Answer

window.MathJax = { tex: { inlineMath: [['$', '$']], displayMath: [['$$', '$$']] } }; $ \left[\begin{array}{ccc} 0 & 1 & 0 \ 0 & 0 & 2 \ 0 & 0 & 0 \end{array}ight] $

Aspire Student · Answer

window.MathJax = { tex: { inlineMath: [['$', '$']], displayMath: [['$$', '$$']] } }; $ \left[\begin{array}{ccc} 0 & 0 & 0 \ 1 & 0 & 0 \ 0 & 2 & 0 \end{array}ight] $

Aspire Student · Answer

window.MathJax = { tex: { inlineMath: [['$', '$']], displayMath: [['$$', '$$']] } }; $ \left[\begin{array}{ccc} 0 & 0 & 1 \ 0 & 2 & 0 \ 0 & 0 & 0 \end{array}ight] $

Aspire Student · Answer

window.MathJax = { tex: { inlineMath: [['$', '$']], displayMath: [['$$', '$$']] } }; $ \left[\begin{array}{ccc} 1 & 0 & 0 \ 0 & 0 & 2 \ 0 & 0 & 0 \end{array}ight] $

Let $T : P_2(x) \to P_2(x)$ be a linear transformation on vector space $P_2(x)$ (polynomials of degree $\le 2$ over $\mathbb{R}$) such that $T(f(x)) = \dfrac{d}{dx}(f(x))$. Then the matrix of $T$ w.r.t. basis ${1, x, x^2}$ is:

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Let $T : P_2(x) \to P_2(x)$ be a linear transformation on vector space $P_2(x)$ (polynomials of degree $\le 2$ over $\mathbb{R}$) such that $T(f(x)) = \dfrac{d}{dx}(f(x))$. Then the matrix of $T$ w.r.t. basis ${1, x, x^2}$ is:

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