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If (A, 3),(4, 1) + (2, B),(1, -2) - (1,1),(-2, C) = (5, 0),(7, 3) Find the Values of A, B and C - Mathematics

Sum

If `[(a, 3),(4, 1)] + [(2, b),(1, -2)] - [(1,1),(-2, c)] = [(5, 0),(7, 3)]`, Find the values of a, b and c

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Solution

`[(a, 3),(4, 1)] + [(2, b),(1, -2)] - [(1,1),(-2, c)] = [(5, 0),(7, 3)]`

`[(a + 1, 2 + b),(7, -1-c)] = [(5, 0),(7, 3)]`

Comparing the corresponding elements we get

a + 1 = 5 => a = 4

2 + b = 0 => b = -2

-1 - c = 3 => c = -4

Concept: Matrices Examples
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Selina Concise Maths Class 10 ICSE
Chapter 9 Matrices
Exercise 9 (D) | Q 7 | Page 131
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