Let A 1 2 1 0 1 0 3 5 1 2 1 1 Find a nonsingular matrix P s

Let A = [1 2 1 0 -1 0 3 5 1 -2 1 1]. Find a non-singular matrix P such that PA is a RREF of A.

Solution

PA is equal to rref of A

now A

now for r ref

firstly perform R3->R3-R1

now perform

R2->R2+R1

NOW perform R3->R3+2R2

NOW R2-> R2/2

NOW APPLY

R2->R2-R3/4

This is reduced echolean form

now do all this opertions on I matrix to get the value of P

1	2	1	0
-1	0	3	5
1	-2	1	1