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If [3455]=[abcd][1001]write down the values of a,b,c and d - Mathematics

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Question

If `[(3, 4),(5, 5)] = [(a, b),(c, d)] [(1, 0),(0, 1)]`write down the values of a,b,c and d

Sum

Solution

Given
`[(3, 4),(5, 5)] = [(a, b),(c, d)] [(1, 0),(0, 1)]`

⇒ `[(3, 4),(2, 5)] = [(a + 0, 0 + b),(c + 0, 0 + d)]`

⇒ `[(3, 4),(2, 5)] = [(a, b),(c, d)]`
Comparing the corresponding elements
a = 3, b = 4, c = 2, d = 5.

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Chapter 8: Matrices - Exercise 8.3

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