Vectors & Matrix Operations

Every computer image, voice recording, and recommendation you receive is just a vector being multiplied by a matrix — millions of times per second.

Can you find a 2×2 matrix that flips a vector across the Y-axis?

This lab builds on concepts from:

Vectors & Matrices

Vector A: (2.0, 3.0)

Vector B: (-1.0, 2.0)

Result: (1.00, 5.00)

Dot product: 4.00

A.x2.0

A.y3.0

B.x-1.0

B.y2.0

[

]

[

]

[a b; c d] × [x; y] = [ax+by; cx+dy]

Step-by-step calculation

[2 1]×[1]=[2×1 + 1×2]=[4.00]

[0 1.5]×[2]=[0×1 + 1.5×2]=[3.00]