Question

Select the correct answer from the drop-down menu. A=-2[-6 4, 3 7, 12 10], B=3[-2 2 8, 8 5 6], 3C=3[-2 8, 2 5, 8 6] and D=-1[-12 8, 6 14, 24 20]. (drop down menu) are equal matrices.

Answer 1

A and D are equal

Explanation:

Given

`A=-2[-6, 4, 3 ,7, 12, 10]`

`B=3[-2, 2, 8, 8, 5, 6]`

`3C=3[-2, 8, 2, 5, 8, 6]`

`D=-1[-12, 8, 6, 14, 24, 20].`

Required

The equal matrices

First, we simplify the given expressions

`A=-2[-6, 4, 3 ,7, 12, 10]`

Open bracket

`A= [12, -8, -6 ,-14, -24, -20]`

Next:

`B=3[-2, 2, 8, 8, 5, 6]`

Open bracket

`B=[-6, 6, 24, 24, 15, 18]`

Next:

`3C=3[-2, 8, 2, 5, 8, 6]`

Divide by 3

`C=[-2, 8, 2, 5, 8, 6]`

Lastly:

`D=-1[-12, 8, 6, 14, 24, 20].`

Open bracket

`D=[12, -8, -6, -14, -24, -20].`

By comparison:

`A = D=[12, -8, -6, -14, -24, -20].`