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If A = [75-33] and B = [-2510], then the matrix P (such that A + P = B) is ______. -

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Question

If A = `[(7, 5),(-3, 3)]` and B = `[(-2, 5),(1, 0)]`, then the matrix P (such that A + P = B) is ______.

Options

  • `[(4, 0),(9, -3)]`

  • `[(9, 0),(4, -2)]`

  • `[(-9, 0),(4, 3)]`

  • `[(-9, 0),(4, -3)]`

MCQ
Fill in the Blanks

Solution

If A = `[(7, 5),(-3, 3)]` and B = `[(-2, 5),(1, 0)]`, then the matrix P (such that A + P = B) is `underlinebb([(-9, 0),(4, -3)])`.

Explanation:

Given A + P = B

`\implies` P = B – A

= `[(-2, 5),(1, 0)] - [(7, 5),(-3, 3)]`

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

= `[(-9, 0),(4, -3)]`

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