(a)
To check: Whether the given matrix is in reduced row-echelon form, row echelon form or neither.
(a)
Answer to Problem 5T
The matrix
Explanation of Solution
Given:
The given matrix is
A matrix is in row-echelon form it satisfies the following conditions.
(1)The first non zero number in row is 1.
(2)The leading entry in each row is to the right of the leading entry in the row immediately above.
(3)All rows consisting entirely of zeros are at the bottom of the matrix.
A matrix is said to be in reduced row-echelon form if it is in row echelon form and every number above and below of each leading entry is 0.
Use elementary row operation to convert the matrix in row echelon form.
The first non zero number of the row is 1.
Thus, matrix can be reduced in row-echelon form.
(b)
To check: Whether the given matrix is in reduced row-echelon form, row echelon form or neither.
(b)
Answer to Problem 5T
The matrix
Explanation of Solution
Given:
The given matrix is
Use elementary row operation to convert the matrix in row echelon form.
The first non zero number of the row is 1 and every number above and below of each leading entry is 0.
Therefore, the matrix
(c)
To check: Whether the given matrix is in reduced row-echelon form, row echelon form or neither.
(c)
Answer to Problem 5T
The matrix
Explanation of Solution
Given:
The given matrix is
Use elementary row operation to convert the matrix in row echelon form.
The matrix
Therefore, the matrix
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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