50. Which of the matrices [} 1&0&6&3 0&1&0&-2 0&0&1&4 ] given below is the reduced row-echclon form of the following matrix? A. [} 0&0&1&(1)/(2) 0&1&0&(3)/(4) 0&0&0&1 ] C. [} 1&0&0&(1)/(2) 0&1&0&(3)/(4) 0&0&1&0 ] B. [} 1&0&0&(3)/(4) 0&1&0&(1)/(2) 0&0&1&0 ] D. [} 1&0&0&0 0&1&0&(3)/(4) 0&0&1&(1)/(2) ]

To determine which matrix is the reduced row-echelon form (RREF) of the given matrix, we need to perform row reduction on the given matrix and compare it with the options provided.The given matrix is: Let's perform row reduction on this matrix:1. The first row already has a leading 1 in the first column, so we don't need to do anything to it.2. The second row already has a leading 1 in the second column, so we don't need to do anything to it.3. The third row already has a leading 1 in the third column, so we don't need to do anything to it.Now, let's compare the given matrix with the options provided:A. B. C. D. Comparing the given matrix with the options, we can see that option C matches the given matrix after performing row reduction. Therefore, the correct answer is option C.