Question

Please help! Correct answer only, please! The answer isn't C. Determine the value of the following if it is possible. If it is not possible, explain. A. B. C. D.

Answer 1

Solution : C

Explanation:

This question involves scalar multiplication. Multiply each of the matrix elements by a scalar, in this case 3.

`3\begin{bmatrix}-2&0\\ \:4&-7\end{bmatrix} = \begin{bmatrix}3\left(-2\right)&3\cdot \:0\\ 3\cdot \:4&3\left(-7\right)\end{bmatrix}`

Simplifying each element, we receive the following matrix,

`\begin{bmatrix}-6&0\\ 12&-21\end{bmatrix}` - And hence our solution is option c

Answer 2

| -6 0 |

| 12 21 |

Explanation:

When we multiply a matrix by a scalar, each term in the matrix is multiplied by the scalar

3 | -2 0 |

| 4 7 |

becomes

| -6 0 |

| 12 21 |