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A =అనేది ఒక సౌష్టవ మాత్రిక అయితే, అప్పుడు 3x + y అనేది దీనికి సమానం 

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  1. -1
  2. 0
  3. 1
  4. ఇవేవీ కావు

Answer (Detailed Solution Below)

Option 1 : -1
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Detailed Solution

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భావన

సౌష్టవ మాత్రిక:

ఏదైనా వాస్తవ చతురస్ర మాత్రిక A = (aij),  aij = aji, ∀ i మరియు j అయితే మాత్రమే సౌష్టవ మాత్రిక అని చెప్పబడుతుంది లేదా ఇతర మాటలలో అయితే A నిజమైన చదరపు మాత్రిక అయితే A = At  అప్పుడు A సౌష్టవ మాత్రిక అని చెప్పవచ్చు.  

గణనలు:

A = At

 

పోల్చగా

3 + x = 1 - x

⇒ x = - 1

మరియు, y + 1 = 5 - y

⇒ y = 2

3x + y = 3(-1) + 2

∴ 3x + y = -1 

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