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If A + B = [(1, 0),(1, 1)] and A – 2B = [(–1, 1),(0, –1)], then A = ______. - Mathematics

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Question

If A + B = `[(1, 0),(1, 1)]` and A – 2B = `[(-1, 1),(0, -1)]`, then A = ______.

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Solution

If A + B = `[(1, 0),(1, 1)]` and A – 2B = `[(-1, 1),(0, -1)]`, then A = `underlinebb([(1/3, 1/3),(2/3, 1/3)])`.

Explanation:

2(A + B) + (A – 2B) = `[(2, 0),(2, 2)] + [(-1, 1),(0, -1)]`

3A = `[(1, 1),(2, 1)]`

A = `[(1/3, 1/3),(2/3, 1/3)]`

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2019-2020 (March) Delhi Set 1
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