MathAlgebraLinear algebraLinear operators

Introduction to linear operators

The transformation of a matrix

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Let A be an $m \times n$ matrix and $L_A$ its associated transformation.

Select the true statements.

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L_A

is a function from

\mathbb{R}^n

into

\mathbb{R}^m

L_A

is linear

L(0) \neq 0

L_A

is a function from

\mathbb{R}^m

into

\mathbb{R}^n

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