Given u = (3, -2) and v = (5, 4), find u + v.

Solution

Linear Algebra · Easy

Step 1: Recall how to add vectors.

To add two vectors, add their corresponding components.

u = (3, -2)
v = (5, 4)

Step 2: Add the first components.

3 + 5 = 8

Step 3: Add the second components.

-2 + 4 = 2

Step 4: Write the resulting vector.

u + v = (8, 2)

Therefore, the sum of the two vectors is (8, 2).

Result

u + v = (8, 2)