In this lesson, we will learn how to find the image and basis of the kernel of a linear transformation.
Q1:
Suppose that the columns of an 𝑚×𝑚 matrix 𝐴 are linearly independent. Then, which of the following statements is always true?
Q2:
Find a basis for ker(𝐴) , where 𝐴=⎡⎢⎢⎣12321021121443302112⎤⎥⎥⎦.
Q3:
Fill in the blank. A linear map 𝑇∈𝐿(𝑉,𝑊) is , if and only if 𝑇 is injective and surjective.
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