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Find X If Y =`[[3 2],[1 4]]`And 2x + Y =`[[1 0],[-3 2]]` - Mathematics

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Question

Find X if Y =`[[3       2],[1      4]]`and 2X + Y =`[[1       0],[-3        2]]`

Sum

Solution

Given : `2X+Y =[[1         0],[-3        2]]`

`⇒ 2X + [[3     2],[1    4]]=[[1       0],[-3       2]]`

`⇒ 2X =[[1     0],[-3      2]]-[[3      2],[1     4]]`

`⇒2X=[[1-3           0-2],[-3-1           2-4]]`

`⇒ 2X =[[-2      -2],[-4       -2]]`

`⇒ X=1/2 [[-2       -2],[-4       -2]]`

`⇒X=[[-1        -1],[-2           -1]]`

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Chapter 5: Algebra of Matrices - Exercise 5.2 [Page 18]

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RD Sharma Mathematics [English] Class 12
Chapter 5 Algebra of Matrices
Exercise 5.2 | Q 8 | Page 18

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