The given matrix A is:

2 4 1 6 4 8 3 14

To find the reduced row echelon form (RREF), we need to perform a series of row operations. The goal is to create a leading 1 in each row and use it to make the elements below and above it 0.

Step 1: Divide the first row by 2 to get a leading 1:

1 2 0.5 3 2 4 1.5 7

Step 2: Subtract 2 times the first row from the second row to make the second element in the second row 0:

1 2 0.5 3 2 4 1.5 7
0 0 -1 -6 -4 -8 -3 -14

Step 3: Multiply the second row by -1 to get a leading 1:

1 2 0.5 3 2 4 1.5 7
0 0 1 6 4 8 3 14

Step 4: Subtract 0.5 times the second row from the first row to make the third element in the first row 0:

1 2 0 -0.5 -0.5 -0.5 -0.5 -0.5
0 0 1 6 4 8 3 14

This is the reduced row echelon form of the matrix A.

Question

The given matrix A is:

2	4	1	6	4	8	3	14

To find the reduced row echelon form (RREF), we need to perform a series of row operations. The goal is to create a leading 1 in each row and use it to make the elements below and above it 0.

Step 1: Divide the first row by 2 to get a leading 1:

1	2	0.5	3	2	4	1.5	7

Step 2: Subtract 2 times the first row from the second row to make the second element in the second row 0:

1	2	0.5	3	2	4	1.5	7
0	0	-1	-6	-4	-8	-3	-14

Step 3: Multiply the second row by -1 to get a leading 1:

1	2	0.5	3	2	4	1.5	7
0	0	1	6	4	8	3	14

Step 4: Subtract 0.5 times the second row from the first row to make the third element in the first row 0:

1	2	0	-0.5	-0.5	-0.5	-0.5	-0.5
0	0	1	6	4	8	3	14

This is the reduced row echelon form of the matrix A.

Knowee AI · Accepted Answer