Question Video: Constructing a Matrix That Represents a Given Set of Data Mathematics

The bar chart shows the number of kilowatt-hours of energy produced and consumed in three countries over a certain time period. Represent these data in a matrix whose rows represent Brazil, France, and Canada, in that order, and whose columns represent production and consumption, in that order.

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Video Transcript

The bar chart shows the number of kilowatt-hours of energy produced and consumed in three countries over a certain time period. Represent these data in a matrix whose rows represent Brazil, France, and Canada, in that order, and whose columns represent production and consumption, in that order.

Well, the first thing we want to do here is have a look at our bar chart and work out what the values are for each of the bars within it. Well, if we look at Brazil, we’ve got 60 for production and 90 for consumption, and that’s because it’s halfway between the 80 and the 100. Then if we take a look at France, we’ve got 45 for production and 75 for consumption. And then, finally, Canada, we’ve got 85 for production and 70 for consumption.

Well, now what we want to do is create our matrix. So our columns are production and consumption, in that order, and our rows are Brazil, France, and Canada. So then our first row is gonna be 60, 90. And our second row is 45, 75. So then our final row is 85, 70. So what we can say is the matrix which represents the production and consumption of Brazil, France, and Canada is the matrix 60, 90, 45, 75, 85, 70.

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