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JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant

શ્રેણિક \(A^2 + 4A - 5I\) મેળવો કે જ્યાં \(I\) એ એકમ શ્રેણિક છે અને \(A = \left[ {\begin{array}{*{20}{c}}
1&2\\
4&{ - 3}
\end{array}} \right]\)

  1. A \(4\left[ {\begin{array}{*{20}{c}} 2&1\\ 2&0 \end{array}} \right]\)
  2. B \(4\left[ {\begin{array}{*{20}{c}} 0&{ - 1}\\ 2&2 \end{array}} \right]\)
  3. C \(32\left[ {\begin{array}{*{20}{c}} 2&1\\ 2&0 \end{array}} \right]\)
  4. D \(32\left[ {\begin{array}{*{20}{c}} 1&1\\ 1&0 \end{array}} \right]\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(4\left[ {\begin{array}{*{20}{c}} 2&1\\ 2&0 \end{array}} \right]\)

Step-by-step Solution

Detailed explanation

\({A^2} + 4A - 51 = A \times A + 4A - 5I\)…
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