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प्रश्न
Given `[(2, 1),(-3, 4)], "X" = [(7),(6)]` the matrix X.
उत्तर
We have
`[(2, 1),(-3, 4)], "X" = [(7),(6)]`
Let X = `[(x),(y)]`
So, `[(2, 1),(-3, 4)][(x),(y)] = [(7),(6)]`
⇒ `[(2x + y),(-3x + 4y)] = [(7),(6)]`
2x + y = 7 ...(i)
–3x + 4y = 6 ...(ii)
Multiplying (i) by 3 and (ii) by 2, and adding
we get:
6x + 33y = 21
–6x + 8y = 12
11y = 33
⇒ y = 3
From (i),
2x = 7 – 3
2x = 4
x = 2
So, X = `[(2),(3)]`
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