For Problems 918 use elementary row operations to reduce the

For Problems 9-18, use elementary row operations to reduce the given matrix to row-echelon form, and hence determine the rank of each matrix. [2 1 1 -3]. [2 -4 -4 8]. [2 1 4 2 -3 4 3 -2 6]. [0 1 3 0 1 4 0 3 5]. [2 -1 3 2 2 5]. [2 -1 3 3 1 -2 2 -2 1].

Solution

10)

hence rank 1

12)

hence rank 2

14)

hence rank 3

Row Operation 1:

2 -4 -4 8

multiply the 1st row by 1/2

1 -2 -4 8