Here are the steps to check for row equivalence:
Subtract a multiple of one row from another row.
Swap two rows.
Multiply a row by a nonzero constant.
We can perform these operations on matrix A and check if we can obtain matrix B. If we can, then A is row equivalent to B.
A B
1 2 3 1 0 5
1 4 1 0 2 -2
2 1 9 1 1 4
By performing the following row operations:
R2 = R2 - R1
R3 = R3 - 2*R1
R1 = R1 - R2
R3 = R3 - R2
R3 = (1/3)*R3
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We can transform matrix A into matrix B. Therefore, matrix A is row equivalent to matrix B.
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