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If [1233][x00y]=[x090]find the values of x and y - Mathematics

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प्रश्न

If `[(1, 2),(3, 3)] [(x, 0),(0, y)] = [(x, 0),(9, 0)]`find the values of x and y

योग

उत्तर

Given
`[(1, 2),(3, 3)] [(x, 0),(0, y)] = [(x, 0),(9, 0)]`

⇒ `[(x + 0, 0 + 2y),(3x + 0, 0 + 3y)] = [(x, 0),(9, 0)]`

⇒ `[(x, 2y),(3x, 3y)] = [(x, 0),(9, 0)]`
Comparing the corresponding elements
2y = 0
⇒ y = 0
3x = 9
⇒ x = 3
Hence x = 3, y = 0.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Matrices - Exercise 8.3

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