Mathematics: 3. could a 5 x 8 matrix have dim col a 6 and dim nul a - 2? justify your answer. (hint: think about the possible pivot rows and columns

3. could a 5 x 8 matrix have dim col a 6 and dim

Ответ:

aide12345

13.03.2022

Step-by-step explanation:

A 5x8 matrix represents a linear transformation between the vector space $\mathbb{R}^8$ and $\mathbb{R}^5$ . Remeber that the columns of generate the image of the linear transformation, which is a vector subspace of $\mathbb{R}^5$ . Therefore, $\dim \text{Col}A \leq 5$ , which is the dimension of the the total space.

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Ответ:

dessyrob05

22.12.2020

Mathematics

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3. could a 5 x 8 matrix have dim col a 6 and dim nul a - 2? justify your answer. (hint: think about the possible pivot rows and columns

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