English

Given A = [473-2] and B = [12-14], then A – 2B is ______. -

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Question

Given A = `[(4, 7),(3, -2)]` and B = `[(1, 2),(-1, 4)]`, then A – 2B is ______.

Options

  • `[(-2, 3),(5, -10)]`

  • `[(-2, -3),(-5, 10)]`

  • `[(2, 3),(5, -10)]`

  • `[(2, 3),(5, 10)]`

MCQ
Fill in the Blanks

Solution

Given A = `[(4, 7),(3, -2)]` and B = `[(1, 2),(-1, 4)]`, then A – 2B is `underlinebb([(2, 3),(5, -10)])`.

Explanation:

Given

A – 2B = `[(4, 7),(3, -2)] - 2[(1, 2),(-1, 4)]`

= `[(4, 7),(+3, -2)] - [(2, 4),(-2, 8)]`

= `[(4 - 2, 7 - 4),(3 + 2, -2 - 8)]`

= `[(2, 3),(5, -10)]`

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