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Find X, if Y=[3214] and 2X+Y=[10-32] - Mathematics

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Question

Find X, if  `Y = [(3, 2),(1,4)]` and `2X + Y = [(1, 0),(-3, 2)]`

Sum
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Solution

Given:
2X + Y = `[(1, 0),(-3, 2)]`

⇒ 2X = 2X + Y = `[(1, 0),(-3, 2)] - "Y"`

⇒ 2X = `[(1, 0),(-3, 2)] - [(3, 2),(1, 4)]`

= `[(1 - 3, 0 - 2),(-3 - 1, 2 - 4)]`

= `[(-2, -2),(-4, - 2)]`

X = `(1)/(2)[(-2, -2),(-4, -2)]`

= `[(-1, -1),(-2, -1)]`.

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Chapter 3: Matrices - Exercise 3.2 [Page 81]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 3 Matrices
Exercise 3.2 | Q 8 | Page 81
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