Answer:
Step-by-step explanation:
Hi,
Considering that any elementary matrix can be obtained from the identity matrix of same dimensions using row operations, we consider our starting matrix to be:
For part a) we add the third row to fourth row, however nothing happens to the rest of the rows. Remember, the only change we see is in row 4.
Addition in matrix is element-wise.
We reach the following matrix at the end of part a)
b)
We begin with the matrix:
To subtract fourth row from third means:
All matrix operations are element-wise:
we reach the following matrix at the end of part b)
c)
We shall continue this from the matrix we reached at end of part b)
Add 3 times Row 4 to Row 1:
Remember, all matrix operations are element-wise:
Completing the operations in the matrix, we reach the following matrix at the end of part c)
d)
Continuing where we left in part c), we need to subtract two times the second row from the fourth row:
Applying element-wise operations:
Completing the operations, we reach the following matrix at the end of part d)
This is the final answer after completing all operations on 4x4 matrix.