Question

Evaluate the following expression: 2(1,1) -4(0,1). enter your answer as a vector.

Answer 1

The answer is (2,-2)

You just distribute the 2 into (1,1) and same with the -4 into (0,1) and add them together ‍

Explanation:

Answer 2

`\binom{2 }{ - 2}`

EXPLANATION

We were given the vector equation:

`2 \binom{1}{1} ) - 4 \binom{0}{1}`

We perform the scalar multiplications first to get:

`\binom{2 * 1}{2 * 1} ) - \binom{4 * 0}{4 * 1}`

Simplify the components of each vector

`\binom{2 }{2} - \binom{0}{4}`

We subtract the corresponding components of the vector to get:

`\binom{2 - 0}{2 - 4}`

This simplifies to

`\binom{2 }{ - 2}`