Vectors, Linear Combinations and Linear Independence

Vectors in Rn Vectors in Rn:

Vectors in Rn Vector operations: Equality: Addition:

Vectors in Rn Multiplication by scalar: Magnitude:

Vectors in Rn Dot (scalar) product:

Vectors in Rn Example:

Vectors in Rn Properties:

Linear Combinations Definition:

Linear Combinations Example 1:

Linear Combinations Example 2:

Linear Dependence and Independence Definition:

Linear Dependence and Independence Example :

Linear Dependence and Independence Note:

Linear Dependence and Independence Note:

Linear Dependence and Independence Example: