Class 12Mathematics3 and 4 .Determinants and MatricesSpecial types of matrices, Transpose of matrices and Trace of matrices
EasyFind the transpose of the following matrix: $\left[\begin{array}{cc}1 & -1 \\ 2 & 3\end{array}\right]$
- A$\left[\begin{array}{cc}1 & 2 \\ -1 & 3\end{array}\right]$
- B$\left[\begin{array}{cc}1 & -1 \\ 2 & 3\end{array}\right]$
- C$\left[\begin{array}{cc}2 & 3 \\ 1 & -1\end{array}\right]$
- D$\left[\begin{array}{cc}-1 & 1 \\ 3 & 2\end{array}\right]$
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If $A = \begin{bmatrix} 3 & \sqrt{3} & 2 \\ 4 & 2 & 0 \end{bmatrix}$ and $B = \begin{bmatrix} 2 & -1 & 2 \\ 1 & 2 & 4 \end{bmatrix}$,verify that $(A')' = A$.
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View SolutionFor the matrix $A = \begin{bmatrix} 1 & 5 \\ 6 & 7 \end{bmatrix}$,verify that $(A + A^{\prime})$ is a symmetric matrix.
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