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Find X, Y, Z And T, If `2[[X 5],[Z T]]+[[X 6],[-1 2t]]=[[7 14],[15 14]]` - Mathematics

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प्रश्न

Find xyz and t, if

`2[[x         5],[z         t]]+[[x           6],[-1          2t]]=[[7            14],[15        14]]`

योग
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उत्तर

`2[[x         5],[7       y-3]]+[[3          4],[1          2]]=[[7            14],[15        14]]`

`⇒ [[2x     10],[14          2y-6]]+[[3         4],[1          2]]=[[7          14],[15           14]]`

`⇒[[2x+3           10+4],[14+1            2y-6+2]]=[[7          14],[15          14]]`

`⇒ [[2x+3             14],[15           2y-4]]=[[7            14],[15        14]]`

∴ 2x+3=7

⇒2x=4

⇒  x = 2

Also,

2y−4=14

⇒2y=18

⇒y=9  

 

 

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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 19.2 | पृष्ठ १९

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