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`If [[X-y Z],[2x-y W]]=[[-1 4],[0 5]]`Find X,Y,Z,W.

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प्रश्न

`If [[x-y,z],[2x-y,w]]=[[-1,4],[0,5]]`Find X,Y,Z,W.

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उत्तर

Given: `[[x-y       z],[2x-y     w]]=[[-1   4],[0        5]]`

Since all the corresponding elements of a matrix are equal,

x−y=−1

⇒x=−1+y               ...(1)

2x−y=0                    ... (2)

z=4

w=5

Putting the value of x in eq. (2), we get

2(−1+y)−y=0

⇒−2+2y−y=0

⇒−2+y=0

⇒y=2

Putting the value of y in eq. (1), we get

x=−1+2

⇒x=1

 

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Algebra of Matrices - Exercise 5.1 [पृष्ठ ७]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 4 Algebra of Matrices
Exercise 5.1 | Q 13 | पृष्ठ ७

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