a)Find elementary matrices
b)Show that is no elementary matrix E such that
Consider the given information,
now, calculate the elementary matrices.
The matrix C can be be calculated by A by the following operations.
Interchange the Rows of the matrix A. Then,
Now, multiply -1 in the row one and add in second.
Then the elementary matrix are defined as,
(b) It can be observed from part a. A and C lines above are equivalent. However, none of the 2 matrices A and C can be changed to another by a single row operation. Hence there is no primary matrix E such that
Answer is given below (on video)
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