Scalar Multiplication (VCE SSCE General Mathematics): Flashcards

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Scalar Multiplication
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Scalar (in matrix maths)

A number

Scalar multiplication definition

Multiplying every element in a matrix by a scalar

Dimensions after scalar multiplication

Stay the same as the original matrix

Order: scalar mult vs addition/subtraction

Do scalar multiplication first, then add/subtract

GST percentage (Australia)

10%

Multiplier to add 10% GST

1.11.1

Formula to increase by xx%

Multiply by (1 + rac{x}{100})

Formula to decrease by xx%

Multiply by (1 - rac{x}{100})

Memory aid for 'scalar'

Think 'scale' - scaling all values proportionally

5B5B where B = egin{bmatrix} -7 & 2 \ 6 & -3 end{bmatrix}

egin{bmatrix} -35 & 10 \ 30 & -15 end{bmatrix}

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