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Examine the consistency of the system of...

Examine the consistency of the system of equations
`x + 3 y = 5" "``2x + 6y = 8`

Text Solution

Verified by Experts

The given system of equations can be written in the form of `AX = B`, where
`A = [[1,3],[2,6]]`
`X = [[x],[y]]`
`B = [[5],[8]]`
Now, `|A| = [1**6 - 3**2] = 0`
`:. A` is a singular matrix and `A^-1` does not exist.
So, the system of equations will be inconsistent.
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