1 1 0 2 2 2 2 0 0 3 3 3 lo o o 0 4 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1. X1 X2 X3 X4 X5 X6 [1 1 1 1] 1. 2 1 Problem 3: The 4 x 6 matrix A and its row-reduced echelon form are: A = 3 4] X1 X2 X3 X4 X5 X6 a. Fill out the following table of properties of the matrix: Dimension of the Dimension of Dimension of Is the transformation Is the transformation Rank Domain of A Codomain of A null space onto? one-to-one?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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0 0 0
1 0 0 0
0 1 1 0 0
0 0 0
X1 X2 X3 X4 X5 X6
1
1
1 1
1
1
1
2
2 2 2 2
Problem 3: The 4 x 6 matrix A and its row-reduced echelon form are: A =
3
3
4
4]
1
1
X1 X2 X3 X4 X5 X6
a. Fill out the following table of properties of the matrix:
Dimension of the
Dimension of
Dimension of
Is the transformation
Is the transformation
Rank
Domain of A
Codomain ofA
null space
onto?
one-to-one?
Transcribed Image Text:0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 X1 X2 X3 X4 X5 X6 1 1 1 1 1 1 1 2 2 2 2 2 Problem 3: The 4 x 6 matrix A and its row-reduced echelon form are: A = 3 3 4 4] 1 1 X1 X2 X3 X4 X5 X6 a. Fill out the following table of properties of the matrix: Dimension of the Dimension of Dimension of Is the transformation Is the transformation Rank Domain of A Codomain ofA null space onto? one-to-one?
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