
a.
The matrix
is in row-echelon form, reduced row-echelon form, or neither.
a.

Answer to Problem 102E
The matrix is in reduced row echelon form.
Explanation of Solution
Given information:
Condition given is
Given condition is
Therefore, the matrix according to given condition is
This matrix is in reduced row echelon form because each column that contains a leading 1 has zeroes everywhere else in that column.
b.
The matrix
is in row-echelon form, reduced row-echelon form, or neither.
b.

Answer to Problem 102E
The matrix is in row echelon form.
Explanation of Solution
Given information:
Condition given is
Given condition is
Let
Therefore, the matrix according to given condition is
This matrix is in row echelon form because the leading entry in each row is 1 .
c.
The matrix
is in row-echelon form, reduced row-echelon form, or neither.
c.

Answer to Problem 102E
The matrix is neither in row echelon form nor reduced row echelon form.
Explanation of Solution
Given information:
Condition given is
Given condition is
Let
Therefore, the matrix according to given condition is
This matrix is neither in row echelon form nor reduced row echelon form Because there are not any rows that consist entirely zeros also there is not any column that contains a leading 1 has zeroes in that column.
d.
The matrix
is in row-echelon form, reduced row-echelon form, or neither.
d.

Answer to Problem 102E
The matrix is neither in row echelon form nor in reduced row echelon form.
Explanation of Solution
Given information:
Given condition is
Let
Therefore, the matrix according to given condition is
This matrix is neither in row echelon form nor in reduced row echelon form because there are not any rows that consist entirely zeros also there is not any column that contains a leading 1 has zeroes in that column.
Chapter 7 Solutions
Precalculus with Limits: A Graphing Approach
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