Question
Download Solution PDFஅணி \(\begin{bmatrix} \rm\alpha & 2 & 2 \\\ -3 & 0 & 4 \\\ 1 & -1 & 1 \end{bmatrix}\)நேர்மாறாக இல்லை என்றால், பின்:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகருத்து:
அணி நேர்மாறானது அல்ல, எனவே அணிக்கோவையின் மதிப்பு பூஜ்ஜியம்.
\(\rm A = \left[ {\begin{array}{*{20}{c}} {{a_{11}}}&{{a_{12}}}&{{a_{13}}}\\ {{a_{21}}}&{{a_{22}}}&{{a_{23}}}\\ {{a_{31}}}&{{a_{32}}}&{{a_{33}}} \end{array}} \right]\)இன் அணிக்கோவை கொடுக்கப்பட்டால்:
|A| = a11 × {(a22 × a33) – (a23 × a32)} - a12 × {(a21 × a33) – (a23 × a31)} + a13 × {(a21 × a32) – (a22 × a31)}
கணக்கீடு:
Δ = \(\begin{bmatrix} \rm\alpha & 2 & 2 \\\ -3 & 0 & 4 \\\ 1 & -1 & 1 \end{bmatrix}\) என்க
கொடுக்கப்பட்டது: அணி நேர்மாறானது அல்ல
எனவே, அணிக்கோவையின் மதிப்பு பூஜ்ஜியம்.
|Δ| = 0
⇒ α × (0 + 4) – 2 × (-3 - 4) + 2 × (3 - 0) = 0
⇒ 4α + 20 = 0
∴ α = -5
Last updated on Jun 20, 2025
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