Question:medium
The value of \( \begin{pmatrix} 7 & 1 & 5 \\ 8 & 0 & 0 \end{pmatrix} \begin{pmatrix} 2 \\ 3 \\ 1 \end{pmatrix} + 5 \begin{pmatrix} 1 \\ 0 \end{pmatrix} \) is equal to:
The value of \( \begin{pmatrix} 7 & 1 & 5 \\ 8 & 0 & 0 \end{pmatrix} \begin{pmatrix} 2 \\ 3 \\ 1 \end{pmatrix} + 5 \begin{pmatrix} 1 \\ 0 \end{pmatrix} \) is equal to:
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Always double-check the final vector addition after a long multiplication. Zeros in the first matrix (like the second row here) act as a "filter," allowing you to skip parts of the multiplication for that specific row.
Updated On: May 1, 2026
- \( \begin{pmatrix} 16 \\ 27 \end{pmatrix} \)
- \( \begin{pmatrix} 27 \\ 16 \end{pmatrix} \)
- \( \begin{pmatrix} 15 \\ 16 \end{pmatrix} \)
- \( \begin{pmatrix} 16 \\ 15 \end{pmatrix} \)
- \( \begin{pmatrix} 16 \\ 16 \end{pmatrix} \)
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The Correct Option is B
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