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A  ,  , 

ఇక్కడ I గుర్తింపు మాతృక అయినా k విలువను కనుక్కోండి.

  1. 7
  2. 8
  3. 9
  4. 6

Answer (Detailed Solution Below)

Option 1 : 7
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Detailed Solution

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కాన్సెప్ట్:

 A మరియు B అనే రెండు మాత్రికలు అయినట్లయితే నం. A యొక్క నిలువు వరుసల సంఖ్యకు సమానం. B వరుసలు. A = [aij] ఒక m × n మాత్రిక మరియు B = [bij] n × p మాత్రిక అయితే, AB ఉత్పత్తి m × p క్రమం యొక్క ఫలిత మాత్రిక మరియు ఇలా నిర్వచించబడుతుంది.

సాధన:

ఇచ్చినది: A 

ఇక్కడ, మనం k విలువను కనుక్కోవాలి 

రెండు మాత్రికలు సమానంగా ఉన్నందున, వాటి సంబంధిత మూలకాలు కూడా సమానంగా ఉంటాయి.

సంబంధిత అంశాలను పోల్చడం:

4k = 28 ⇒ k = 7

∴ k విలువ 7.

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