Linear combination and vector equations in - Linear Equations with Matrices
Linear combination and vector equations in
Lessons
Notes:
A matrix with one column is called a column vector. They can be added or subtracted with other column vectors as long as they have the same amount of rows.
Parallelogram Rule for Addition: if you have two vectors and , then would be the fourth vertex of a parallelogram whose other vertices are ,and
Here are the following algebraic properties of
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Given vectors in with scalars , the vector is defined by
Where is a linear combination of .
The linear combinations of is the same as saying Span{}.
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Intro Lesson
Vector Equations in Overview:
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Calculating Vectors in
Consider the two vectors, and
. Compute:
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Linear Combinations with Known terms
Determine if is a linear combination of , in part a. Determine if is a linear combination of , , and in part b and c.
