Consider the matrix for parts a and b: 3-6 90 A = 2-4 7 2 3-6 6-6 The following matrix is an echelon form of A: 1-254 0 0 3 6 0 000 a) Find a basis for the column space of A. Indicate the dimension of the column space of A. Write the complete procedure by which you obtained your result. b) Find a basis for the null space of A. State the dimension of the null space o

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 69E: Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of...
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Consider the matrix for parts a and b:
3-6 90
A =
2-4 7 2
3-6 6-6
The following matrix is an echelon form of A:
1-254
0 0 3 6
0
000
a) Find a basis for the column space of A. Indicate the dimension of the
column space of A. Write the complete procedure by which you obtained
your result.
b) Find a basis for the null space of A. State the dimension of the null
space o
Transcribed Image Text:Consider the matrix for parts a and b: 3-6 90 A = 2-4 7 2 3-6 6-6 The following matrix is an echelon form of A: 1-254 0 0 3 6 0 000 a) Find a basis for the column space of A. Indicate the dimension of the column space of A. Write the complete procedure by which you obtained your result. b) Find a basis for the null space of A. State the dimension of the null space o
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