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If `[[2 3],[5 7]] [[1 -3],[-2 4]]-[[-4 6],[-9 X]]` Find X.

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Question

 If `[[2     3],[5      7]] [[1      -3],[-2       4]]-[[-4      6],[-9        x]]` find x.

Sum
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Solution

Given :`[[2,3],[5,7]] [[1,-3],[-2,4]]-[[-4,6],[-9,x]]`

`⇒[[2-6,-6+12],[5-14,-15+28]]=[[-4,6],[-9,x]]`

`⇒[[-4,6],[-9,13]]=[[-4,6],[-9,x]]`

⇒x=13

∴x=13

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Chapter 4: Algebra of Matrices - Exercise 5.3 [Page 43]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 4 Algebra of Matrices
Exercise 5.3 | Q 24.2 | Page 43
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