To fill:
The blanks in the following statement "A linear transformation must leave the zero
Answer to Problem 1PS
"A linear transformation must leave the zero vectors fixed;
Explanation of Solution
Given:
"A linear transformation must leave the zero vector fixed;
From the given data, we have
Substitute
Therefore, linear transformation must leave the zero vector fixed;
We have
By substituting
Therefore, linear transformation must leave the zero vector fixed;
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Chapter 8 Solutions
Introduction to Linear Algebra, Fifth Edition
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