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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.

Respuesta :

MrRoyal

Answer:

A and D are equal

Step-by-step explanation:

Given

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

[tex]B=3[-2, 2, 8, 8, 5, 6][/tex]

[tex]3C=3[-2, 8, 2, 5, 8, 6][/tex]

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

Required

The equal matrices

First, we simplify the given expressions

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

Open bracket

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

Next:

[tex]B=3[-2, 2, 8, 8, 5, 6][/tex]

Open bracket

[tex]B=[-6, 6, 24, 24, 15, 18][/tex]

Next:

[tex]3C=3[-2, 8, 2, 5, 8, 6][/tex]

Divide by 3

[tex]C=[-2, 8, 2, 5, 8, 6][/tex]

Lastly:

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

Open bracket

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

By comparison:

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

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