Determine which of the matrices if any are in reduced row ec

Determine which of the matrices, if any, are in reduced row echelon form. [1 0 0 0 1 0 0 0 1] [1 1 0 0 1 0 0 0 0] [0 1 0 0 0 1 0 0 0] [1 0 0 0 0 1 0 0 0] [0 0 0 1 0 0 0 0 0] [0 1 0 1 0 0 0 0 0] [1 1 0 0 1 0 0 0 0] [1 0 2 0 1 3 0 0 0] [0 0 1 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0]

Solution

The basic fundamental used here is that our matrix is said to be in reduced row echelon form if the system of equations that has this matrix as its augmented matrix can be solved with little or almost no effort or we can say that our matrix not be further simpliied by using row opertions.

Solution 12

(a) Matrix is already in Reduced-Row-Echelon-Form since no row opertion can be further applied to simpliy the matrix.

(b) Matrix is not in Reduced-Row-Echelon-Form since it can further be reduced by using row operation

R1=>R1-R2

(c) Matrix is already in Reduced-Row-Echelon-Form since no row opertion can be further applied to simpliy the matrix.

(d) Matrix is already in Reduced-Row-Echelon-Form since no row opertion can be further applied to simpliy the matrix.

(e) Matrix is already in Reduced-Row-Echelon-Form since no row opertion can be further applied to simpliy the matrix.

Solution (13)

(a) Matrix is already in Reduced-Row-Echelon-Form since no row opertion can be further applied to simpliy the matrix.

(b) Matrix is not in Reduced-Row-Echelon-Form since it can further be reduced by using row operation

R1=>R1-R2

(c) Matrix is already in Reduced-Row-Echelon-Form since no row opertion can be further applied to simpliy the matrix.

(d) Matrix is already in Reduced-Row-Echelon-Form since no row opertion can be further applied to simpliy the matrix.

(e) Matrix is already in Reduced-Row-Echelon-Form since no row opertion can be further applied to simpliy the matrix.