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`If [[Xy 4],[Z+6 X+Y ]]``=[[8 W],[0 6]]`, Then Find the Values of X,Y,Z and W . - Mathematics

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प्रश्न

`If [[xy          4],[z+6     x+y ]]``=[[8     w],[0     6]]`, then find the values of X,Y,Z and W . 

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उत्तर

As the given matrices are equal, therefore, their corresponding elements must be equal. Comparing the corresponding elements, we get

 xy = 8                                    4 = w

z + 6 = 0                              x + y = 6      

On simplifying, we get
x = 2, y = 4, z = −6, w = 4       or        x = 4, y = 2, z = −6, w = 4

Hence, the values of x, y, z and w is 2, 4, −6, 4 or 4, 2, −6, 4

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अध्याय 5: Algebra of Matrices - Exercise 5.1 [पृष्ठ ८]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 5 Algebra of Matrices
Exercise 5.1 | Q 16 | पृष्ठ ८

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