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If 2 `[[3 4],[5 X]]+[[1 Y],[0 1]]=[[7 0],[10 5]]` Find X and Y. - Mathematics

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प्रश्न

If 2 `[[3    4],[5     x]]+[[1   y],[0    1]]=[[7        0],[10      5]]` find x and y.

योग

उत्तर

Given:2

`[[3    4],[5     x]]+[[1   y],[0    1]]=[[7        0],[10      5]]`

`⇒ [[6       8],[10      2x]]+[[1     y],[0     1]]=[[7     0],[10      5]]`

`⇒ [[6+1         8+x],[10+0       2x+1]]=[[7       0],[10        5]]`

`⇒[[7            8+y],[10        2x+y]]=[[7      0],[10    5]]`

∴ 8+y=0

⇒y=−8 

Also,

2x+1=5

⇒2x=4

⇒x=`4/2`=2

∴ x=2 and y=−8

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अध्याय 5: Algebra of Matrices - Exercise 5.2 [पृष्ठ १९]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 5 Algebra of Matrices
Exercise 5.2 | Q 16 | पृष्ठ १९

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