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

Answer:

A and D are equal

Step-by-step 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:

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