Q12 of 54 Page 128

The fees structure for one – day admission to a swimming pool is as follows:


Write the matrix that represents the additional cost for non – membership.

Here we consider the type of member along the columns and the timings in the rows. Thus members and non – members matrices can be written as:

M = and N = respectively


The additional cost for non – members as compared to the members is the difference of the above two matrices, which is the difference of each element of the matrices to its corresponding element in the other matrix


N –M =


⇒


The additional cost of non – members as compared to the members is



More from this chapter

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10

If then

verify that A + (B + C) = (A + B) + C.

 11

An electronic company records each type of entertainment device sold at three of their branch stores so that they can monitor their purchases of supplies. The sales in two weeks are shown in the following spreadsheets.


Find the sum of the items sold out in two weeks using matrix addition.

 1

Determine whether the product of the matrices is defined in each case. If so, state the

order of the product.


(i) AB, where A = [aij]4x3, B = [bij]3x2


(ii)PQ, where P = [pij]4x3, Q = [qij]4x3


(iii)MN, where M = [mij]3x1, N = [nij]1x5


(iv) RS, where R = [rij]2x2, S = [sij]2x2

 2

Find the product of the matrices, if exists,

(i) (ii)


(iii) (iv)