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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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Question

`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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Solution

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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Chapter 5: Algebra of Matrices - Exercise 5.1 [Page 8]

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RD Sharma Mathematics [English] Class 12
Chapter 5 Algebra of Matrices
Exercise 5.1 | Q 16 | Page 8

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