(a) To Describe:
Geometrically the linear combination of the
Answer to Problem 1PS
Geometrically the vectors
Explanation of Solution
Given:
The vectors
Since,
That is., the given vector is some scalar times of the other vector.
So, geometrically they represent a line.
(b) To Describe:
Geometrically the linear combination of the vectors
Answer to Problem 1PS
Geometrically the vectors
Explanation of Solution
Given:
The vectors
Since, there does not any real number c such that,
That is., the vectors cannot be written as a linear combination of each other.
So, geometrically they represent a plane.
(c) To Describe:
Geometrically the linear combination of the vectors
Answer to Problem 1PS
Geometrically the vectors
Explanation of Solution
Given:
The vectors
Since, there does not any real number c and d such that,
The given vectors cannot be written as a linear combination of each other.
So, geometrically they represent a plane.
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Chapter 1 Solutions
Introduction to Linear Algebra, Fifth Edition
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