Scalar Multiple (Edexcel A-Level Further Mathematics): Flashcards

A real number that multiplies each matrix element

Every entry scaled by same factor

Each element of $A$ multiplied by $\lambda$

Equal - scalar multiplication is associative

Can be done before or after, result same

$(\lambda A) \times B = A \times (\lambda B)$

Forgetting to apply scalar to all elements

No effect - size unchanged

Inner dimensions must match

Scalar distribution with matrix multiplication