Equate symmetric entries of a 3x3 matrix to find the requested combination of unknowns

CBSE Class 12 · Mathematics · Matrices · similar questions asked in 3 years (2023, 2025, 2026)

1. Q1 2023 1 mark

   If $A = \begin{bmatrix} 1 & 4 & x \\ z & 2 & y \\ -3 & -1 & 3 \end{bmatrix}$ is a symmetric matrix, then the…

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2. Q2 2025 1 mark

   If $A = \begin{bmatrix} 1 & 12 & 4y \\ 6x & 5 & 2x \\ 8x & 4 & 6 \end{bmatrix}$ is a symmetric matrix, then…

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3. Q3 2026 1 mark

   If $A = \begin{bmatrix} 1 & a & b \\ -1 & 2 & c \\ 0 & 5 & 3 \end{bmatrix}$ is a symmetric matrix, then the…

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