How to Perform Scalar Multiplication
Scalar multiplication means multiplying every entry of a vector or matrix by the same number, called the scalar. For example, 3 × (2, −1) = (6, −3), and 2 × [[1, 4], [0, 3]] = [[2, 8], [0, 6]]. Multiplying a vector by a positive scalar stretches or shrinks it; a negative scalar also reverses […]
Visualizing the Magic: How to Multiply Fractions Using Models
Quick answer: To multiply fractions with a model, draw a rectangle, split it into columns for the first fraction and rows for the second, and shade each. The overlap is the answer. For ⅔ × ¾, the square is cut into 3 × 4 = 12 parts and 2 × 3 = 6 overlap, so […]
