Applications of Matrices (VCE SSCE General Mathematics): Flashcards

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Applications of Matrices
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Matrix multiplication in business combines

Sales quantities and price information

Row matrix dimensions

1×n1 \times n (one row, multiple columns)

Column matrix dimensions

m×1m \times 1 (multiple rows, one column)

S×BS \times B result (B = column of 1s)

Sum of each row in SS

A×SA \times S result (A = row of 1s)

Sum of each column in SS

Column matrix of 1s on RIGHT gives

Row sums

Row matrix of 1s on LEFT gives

Column sums

Column matrix of 1s command

Sum each row

Row matrix of 1s command

Sum each column

Key business application of matrices

Calculate revenue from sales quantities and prices

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