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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
Let [a
1
a
2
a
3
a
4
] be a 4x4 matrix with reduced row echelon form given by U =
(a) Find the rank of A.
其他申論題
(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
[4 points] (b) Find a basis of null space of A.
#467023
[4 points] (c) Find a3 and a4.
#467024
(a) Compute the rank of matrix A (10%)
#467025
(b) Find the nullity of matrix BTA (10%)
#467026
(a) (3%) Compute rank(A).
#467027
(b) (2%) Compute rank(AB).
#467028
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