Which of the following is a scalar matrix

⎡ ⎢ ⎣ \begin{matrix} 5 & 0 & 0 0 & 6 & 0 0 & 0 & 7 \end{matrix} ⎤ ⎥ ⎦

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⎡ ⎢ ⎣ \begin{matrix} 5 & 0 & 0 0 & - 5 & 0 0 & 0 & 5 \end{matrix} ⎤ ⎥ ⎦

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⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} \frac{1}{2} & 0 & 0 0 & 1 \frac{1}{2} & 0 0 & 0 & 2 \frac{1}{2} \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦

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⎡ ⎢ ⎣ \begin{matrix} 6 & 0 & 0 0 & 6 & 0 0 & 0 & 6 \end{matrix} ⎤ ⎥ ⎦

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Solution

The correct option is D $⎡ ⎢ ⎣ \begin{matrix} 6 & 0 & 0 0 & 6 & 0 0 & 0 & 6 \end{matrix} ⎤ ⎥ ⎦$
A scalar matrix has all the main diagonal entries same, with zeros everywhere else.

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Similar questions

Which among the following is a scalar matrix?

If k is scalar $(k \neq 0)$ , I is an identity matrix and A is a square matrix . Then which among the following will always be a scalar matrix.

Which of the following is correct about scalar multiplication of a matrix A?

Statement 1:

Statement 2:

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