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5. Algebra of Matrices
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Q17 of 307 Page 6

Give an example of

a triangular matrix.

A triangular matrix is a square matrix,

A = [aij] such that aij = 0 for all i>j


Required matrix =


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17

Give an example of

a row matrix which is also a column matrix

17

Give an example of

a diagonal matrix which is not scalar

18

The sales figure of two car dealers during January 2013 showed that dealer A sold 5 deluxe, 3 premium and 4 standard cars, while dealer B sold 7 deluxe, 2 premium and 3 premium and 4 standard cars, while dealer B sold 7 deluxe, 2 premium and 3 standard cars. Total sales over the 2 month period of January – February revealed that dealer A sold 8 deluxe 7 premium and 6 standard cars. In the same 2 month period, dealer B sold 10 deluxe, 5 premium and 7 standard cars. Write 2 x 3 matrices summarizing sales data for January and 2 – month period for each dealer.

19

For what value of x and y are the following matrices equal?

Questions · 307
5. Algebra of Matrices
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