Lesson Worksheet: Matrix Multiplication Mathematics • 10th Grade
In this worksheet, we will practice identifying the conditions for matrix multiplication and evaluating the product of two matrices if possible.
Q1:
Fill in the blank: If matrix is of order and matrix is of order , then matrix is of order .
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Q2:
Given that is a matrix of order , and is a matrix of order , determine the condition under which is defined.
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Q6:
Fill in the blank: If is a matrix of order and is a matrix of order , then matrix is of order .
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Q10:
The table below shows the number of different types of rooms in three hotels owned by a company. If a single room costs 160 LE per night, a double room costs 430 LE per night, and a suite costs 740 LE per night, determine the companyβs daily income when all the rooms are occupied.
Hotel | Single Room | Double Room | Suite |
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First Hotel | 45 | 74 | 15 |
Second Hotel | 48 | 74 | 19 |
Third Hotel | 49 | 94 | 10 |