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Lect10

# Lect10 - Chapter 3 Vector Spaces Math1111 Vector Spaces x1...

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Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation Recall that we call a column matrix u = x 1 x 2 . . . x n a vector.

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Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation Recall that we call a column matrix u = x 1 x 2 . . . x n a vector. Why did we call u a vector? When n = 2 , we associate u to an “arrow” (the vector we learnt in physics).
Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation Recall that we call a column matrix u = x 1 x 2 . . . x n a vector. Why did we call u a vector? When n = 2 , we associate u to an “arrow” (the vector we learnt in physics). For these arrows, there are two operations defined on them.

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Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation Recall that we call a column matrix u = x 1 x 2 . . . x n a vector. Why did we call u a vector? When n = 2 , we associate u to an “arrow” (the vector we learnt in physics). For these arrows, there are two operations defined on them.
Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation Recall that we call a column matrix u = x 1 x 2 . . . x n a vector. Why did we call u a vector? When n = 2 , we associate u to an “arrow” (the vector we learnt in physics). For these arrows, there are two operations defined on them.

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Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation Recall that we call a column matrix u = x 1 x 2 . . . x n a vector. Why did we call u a vector? When n = 2 , we associate u to an “arrow” (the vector we learnt in physics). For these arrows, there are two operations defined on them.
Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation (Cont’d) Arrows ←-----→ Column Matrices

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Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation (Cont’d) Arrows ←-----→ Column Matrices Operations on vectors ←--→ Matrix operations u 1 u 2 + v 1 v 2
Chapter 3. Vector Spaces Math1111 Vector Spaces Motivation (Cont’d) Arrows ←-----→ Column Matrices Operations on vectors ←--→ Matrix operations α u 1 u 2

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Chapter 3. Vector Spaces
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Lect10 - Chapter 3 Vector Spaces Math1111 Vector Spaces x1...

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