Q3 of 54 Page 135

A fruit vendor sells fruits from his shop. Selling prices of Apple, Mango and Orange are ₹20, ₹10 and ₹5 each respectively. The sales in three days are given below


Write the matrix indicating the total amount collected on each day and hence find the total amount collected from selling of all three fruits combined.

⇒ Let the Sales matrix be A =


⇒ Selling price matrix B =


AB =


=


=


These are the amounts earned on each day.


Total amount earned = 1750 + 1600 + 1650 = 5000 Rs


More from this chapter

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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)

4

Find the values of x and y if .

 5

If and if AX = C, then find the values of x and y.