Class 12Mathematics3-4. Matrices and DeterminantsSpecial types of matrices, Transpose of matrices and Trace of matrices
EasyFind the transpose of the following matrix: $\left[\begin{array}{c}5 \\ \frac{1}{2} \\ -1\end{array}\right]$.
- A$\left[\begin{array}{lll}5 & \frac{1}{2} & -1\end{array}\right]$
- B$\left[\begin{array}{c}5 \\ \frac{1}{2} \\ -1\end{array}\right]$
- C$\left[\begin{array}{cc}5 & \frac{1}{2} \\ -1 & 0\end{array}\right]$
- D$\left[\begin{array}{ccc}5 & 0 & 0 \\ 0 & \frac{1}{2} & 0 \\ 0 & 0 & -1\end{array}\right]$
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If $A=\begin{bmatrix}-1 & 2 & 3 \\ 5 & 7 & 9 \\ -2 & 1 & 1\end{bmatrix}$ and $B=\begin{bmatrix}-4 & 1 & -5 \\ 1 & 2 & 0 \\ 1 & 3 & 1\end{bmatrix}$,then verify that $(A+B)^{\prime}=A^{\prime}+B^{\prime}$.
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