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Question
Examine the consistency of the system of equations.
x + 2y = 2
2x + 3y = 3
Solution
Let A = `[(1,2),(2,3)], X = [(x),(y)], B = [(2),(3)]`
Then the given system of equations can be written as,
`[(1,2),(2,3)][(x),(y)] = [(2),(3)]`
Now, `abs A [(1,2),(2,3)] = 3 - 4 = -1 ne 0`
∴ The given system of equations is consistent.
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