Let x and a be vectors in R2 Define the L: R2→ R2 by L(x) = x +a Is this function a linear operator? Does it have matrix representation? Geometrically, what does this function do to the vector x?
Let x and a be vectors in R2 Define the L: R2→ R2 by L(x) = x +a Is this function a linear operator? Does it have matrix representation? Geometrically, what does this function do to the vector x?
Let x and a be vectors in R2 Define the L: R2→ R2 by L(x) = x +a Is this function a linear operator? Does it have matrix representation? Geometrically, what does this function do to the vector x?
Let x and a be vectors in R2 Define the L: R2→ R2 by L(x) = x +a Is this function a linear operator? Does it have matrix representation? Geometrically, what does this function do to the vector x?
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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