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If P = (2,6),(3,9) and Q = 3,X),(Y, 2) Find X and Y Such that Pq = Null Matrix - Mathematics

Sum

If `P = [(2,6),(3,9)]` and `Q = [(3,x),(y, 2)]` find x and y such that PQ = null matrix

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Solution

`PQ = `[(2,6),(3, 9)][(3,x),(y, 2)] = [(6 + 6y , 2x + 12),(9 + 9y, 3x + 18)]`

PQ = Null matrix

∴ [(6 + 6y,2x + 12),(9 + 9y, 3x + 18)] = [(0,0),(0,0)]`

Comparing the corresponding elements we get

2x + 12 = 0

Therefore x = -6

6 + 6y = 0

Therefore y = -1

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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 9 Matrices
Exercise 9 (C) | Q 29 | Page 130
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