Use these matrices for the example:

What is 2A?

We're finding .

We multiply the 2 by each entry (e) in the matrix, and that gives us our product:

e₁₁ = (2)(2) = 4
e₁₂ = (2)(4) = 8
e₂₁ = (2)(3) = 6
e₂₂ = (2)(4) = 8

So:

Use these matrices for the example:

What is 2B + C?

We're just subbing in our matrices for the variables:

First we find 2B or not to be? Nah, that's not the question. Just 2B, and we do that by multiplying 2 through B entry by entry:

And we're left with an addition problem:

Naturally, we remember that we just add them entry by entry to find the answer:

2 + 0 = 2
10 + 2 = 12
8 + 0 = 8
4 + 1 = 5

So: