If A =  is a symmetric matrix, then 3x + y is equal to?

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UP TGT Mathematics 2019 Official Paper
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  1. -1
  2. 0
  3. 1
  4. none of these

Answer (Detailed Solution Below)

Option 1 : -1
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UP TGT Hindi FT 1
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CONCEPT:

Symmetric Matrix:

Any real square matrix A = (aij) is said to be symmetric matrix if and only if aij = aji, ∀ i and j or in other words we can say that if A is a real square matrix such that A = At then A is said to be a symmetric matrix.

Calculation:

A = At

 

On comparing 

3 + x = 1 - x

⇒ x = - 1

And, y + 1 = 5 - y

⇒ y = 2

3x + y = 3(-1) + 2

∴ 3x + y = -1 

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