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1 of 8 0-day streak

Multiply a matrix by a scalar

Question 1 of 8

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\(P\) is a matrix recording the number of hours each employee of a bakery is rostered at each of its shops in one week

In the matrix, the rows are Ashley, Blake (top to bottom) and the columns are City shop, River shop, Hill shop (left to right)

\[P = \begin{bmatrix} 2 & 6 & 10 \\ 3 & 12 & 5 \end{bmatrix}\]

The roster for a fortnight is exactly two of these weeks in a row, so every figure in the table doubles

(a)6 marks

Calculate \(2P\) to find the hours rostered over a fortnight

2P
(b)1 mark

How many hours will Blake be rostered at the city shop over the fortnight?