Question

Test the consistency of the following system of linear equations
2+3−=1
3−4+3=−1
2−+2=−3
3+−2=4

Answer 1

1. SORRY I didn't know this SORRY

Answer 2

Answer:

Given system of equations

x+3y=5

2x+6y=8

This can be written as 

AX=B

where A=[1236],X=[xy],B=[58]

Here, ∣A∣=6−6=0

Since, ∣A∣=0

Hence, the system has either infinitely many solution (consistent) or no solution (inconsistent)

Now, we will find (adjA)B

C11=(−1)1+16=6

C12=(−1)1+22=−2

C21=(−1)2+13=−3

C22=(−1)2+21=1

So, the co-factor matrix is C=[6−3−21]

⇒adjA=CT=[6−2−31]

Now, (adjA)B=[6−2