Concept explainers
To find: The reduced row-echelon form of the given matrix.
Answer to Problem 47E
The reduced row-echelon form of the given matrix is
Explanation of Solution
Given: The given matrix is
Concept Used: A matrix is said to be in reduced row echelon form if-
- All rows consisting of only zeroes are at the bottom.
- The leading coefficient of a non-zero row is always strictly to the right of the leading coefficient of the row above it.
- The leading coefficient in each non-zero row is 1.
- Each column containing a leading 1 has zeroes in all its other entries.
Reduced row echelon forms are obtained by elementary row operations or Gauss-Jordan elimination and are unique for every matrix.
Calculations: Let A =
Using elementary row operations, the above matrix transforms into-
A
Thus, rref(A )
Chapter 7 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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