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Given (2, 1),(-3, 4) X = (7),(6) Write the Matrix X - Mathematics

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Question

Given `[(2, 1),(-3, 4)] x = [(7),(6)]` Write the matrix x

Solution

Let `x = [(x),(y)]`

`:. [(2, 1),(-3, 4)] xx [(x),(y)] = [(7),(6)] => [(2x + y),(-3x + 4y)] = [(7),(6)]`

=> 2x + y = 7 and -3x + 4y = 6

On soling the above simultaneous equation in x and y, we have x = 2 and y = 3

:. The matruix x = `[(x), (y)] = [(2),(3)]`

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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 9: Matrices
Exercise 9(D) | Q: 4.2 | Page no. 131
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Given (2, 1),(-3, 4) X = (7),(6) Write the Matrix X Concept: Matrices Examples.
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