iran-konkur 2020 Q137

iran-konkur · Other · konkur-riazi_1399_specialized_old-curriculum 3x3 Matrices Matrix Algebraic Properties and Abstract Reasoning
137- If $A = \begin{bmatrix} 2 & 1 & 5 \\ -3 & 0 & 4 \\ 1 & 0 & 2 \end{bmatrix}$, what are the entries of the first row of $A^3$?
  • [(1)] $\begin{bmatrix} 30 & 6 & 94 \end{bmatrix}$
  • [(2)] $\begin{bmatrix} 30 & 6 & 78 \end{bmatrix}$
  • [(3)] $\begin{bmatrix} 24 & 8 & 46 \end{bmatrix}$
  • [(4)] $\begin{bmatrix} 30 & 6 & 46 \end{bmatrix}$

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\textbf{137-} If $A = \begin{bmatrix} 2 & 1 & 5 \\ -3 & 0 & 4 \\ 1 & 0 & 2 \end{bmatrix}$, what are the entries of the first row of $A^3$?

\begin{itemize}
    \item[(1)] $\begin{bmatrix} 30 & 6 & 94 \end{bmatrix}$
    \item[(2)] $\begin{bmatrix} 30 & 6 & 78 \end{bmatrix}$
    \item[(3)] $\begin{bmatrix} 24 & 8 & 46 \end{bmatrix}$
    \item[(4)] $\begin{bmatrix} 30 & 6 & 46 \end{bmatrix}$
\end{itemize}



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