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Question
If `[(2, 0),(0, 4)][(x),(y)] = [(2),(-8)]`, the value of x and y respectively are ______.
Options
1, –2
–2, 1
1, 2
–2, –1
Solution
If `[(2, 0),(0, 4)][(x),(y)] = [(2),(-8)]`, the value of x and y respectively are 1, –2.
Explanation:
`[(2, 0),(0, 4)][(x),(y)] = [(2),(-8)]`
`[(2x + 0y),(0x + 4y)] = [(2),(-8)]`
`[(2x),(4y)] = [(2),(-8)]`
On equating the corresponding terms,
2x = 2
`\implies` x = 1
and 4y = – 8
`\implies` y = – 2
(1, –2)
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