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無年度 - 主題課程_向量空間:秩(rank)、零度(nullity)、維度#108952
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題組內容
Given the following linear transformation
(b) Please find the null space of the column space of A. (5%)
其他申論題
Problem 1. (10 %) Given a matrix where a is a real number. Find the rank of and give the corresponding range of a.
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a) Find the rank of A
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b) Find the dimension of the nullspace of A
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(a) Find the standard matrix A of this lincar transformation T. (5%)
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(a) (3 points) Find a basis for the null space of 4.
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(b) (3 points) Find a basis for the row space of A.
#467018
(c) (3 points) Find a basis for the column space of A.
#467019
(d) (3 points) Find the rank and the nullity of A.
#467020
(10%) A= , find bases for Nul A and Col A.
#467021
(a) Find the rank of A.
#467022