Concept explainers
D so that
Row space basis
Given:
a, b, c are given with
Calculation:
In order to have rank 1, it is important that the first row would be non-zero and the second row would be multiple of the first row. Therefore,
It can be noted that the row space and the the nullspace will have dimension as 1. Thus, the first row
Multiply the vectors
Therefore, the dot product of these two vectors is zero, so the row space basis
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Introduction to Linear Algebra, Fifth Edition
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