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List of top Mathematics Questions on Matrices asked in Karnataka PGCET

If \( A = \begin{bmatrix} 1 & 2 \\ -1 & 3 \end{bmatrix} \), \( B = \begin{bmatrix} -1 & 2 \\ 0 & 4 \end{bmatrix} \), then match the following and choose the correct answer.

\[ \begin{array}{ll} \text{List - I} & \text{List - II} \\ \\ (a)\; A+B & (i)\; \begin{bmatrix} -1 & 10 \\ 1 & 10 \end{bmatrix} \\ (b)\; A-B & (ii)\; \begin{bmatrix} 0 & 4 \\ -1 & 7 \end{bmatrix} \\ (c)\; AB & (iii)\; \begin{bmatrix} 1 & 4 \\ 0 & 10 \end{bmatrix} \\ (d)\; 2A + B' & (iv)\; \begin{bmatrix} 2 & 0 \\ -1 & -1 \end{bmatrix} \end{array} \]

  • Karnataka PGCET - 2026
  • Karnataka PGCET
  • Mathematics
  • Matrices
If $A = \begin{bmatrix} 1 & 2 & 4 \\ -1 & 3 & 0 \\ 1 & 2 & 0 \end{bmatrix}$, then the value of determinant of A is:}
  • Karnataka PGCET - 2026
  • Karnataka PGCET
  • Mathematics
  • Matrices
If \(A = \begin{pmatrix} \alpha & 2 \\ 2 & \alpha \end{pmatrix}\) and \(|A^3| = 125\), then what is the value of \(\alpha\)?
  • Karnataka PGCET - 2026
  • Karnataka PGCET
  • Mathematics
  • Matrices
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