Question

Select the best answer for the question. What is 4C?

Answer 1

i think it might be c. but im not sure

Answer 2

The answer is A

`\left[\begin{array}{ccc}48&0&6 \\4&-24&28\end{array}\right]`

Explanation:

If we have a matrix A = (aij) and a real number, the product of a real number is defined by a matrix, in which each matrix element is multiplied by the real number.

In this case we have the real number 4 and the matrix C

`C=\left[\begin{array}{ccc}12&0&(3)/(2) \\1&-6&7\end{array}\right]`

Now, we need to multiply 4 by every term in the matrix, so we'll have:

`4*\left[\begin{array}{ccc}12&0&(3)/(2) \\1&-6&7\end{array}\right] \\\left[\begin{array}{ccc}12*4&0*4&(3)/(2)*4 \\1*4&-6*4&7*4\end{array}\right] \\\\\left[\begin{array}{ccc}48&0&(12)/(2) \\4&-24&28\end{array}\right]`

Simplify 12/2 :

`\left[\begin{array}{ccc}48&0&6 \\4&-24&28\end{array}\right]`

The answer is A.