Question

c= [12 0 3/2 1 -6 7 ] What is 4C? its a 2x3 matrix so 12 0 3/2 on top and 1 -6 7 on bottom. The answer is also supposed to be a matrix.

Answer 1

The required matrix is:

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

Explanation:

The matrix given is:

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

We need to find 4C which means we need to multiply the matrix C with 4. Every entry of matrix will be multiplied by 4.

`4C=\left[\begin{array}{ccc}4*12&4*0&4*3/2\\4*1&4*-6&4*7\end{array}\right]`

Solving:

`4C=\left[\begin{array}{ccc}48&0&12/2\\4&-24&28\end{array}\right]\\4C=\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right]`

SO, the required matrix is:

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

Answer 2

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

Explanation:

4C implies that we multiply each element in C by the constant 4.

12*4 = 48

0*4 = 0

(3/2)*4 = 6

This will be the new elements on top

1*4 = 4

-6 * 4 = -24

7 * 4 = 28

This will be the new elements at the bottom. The required matrix 4C is thus;

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