UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Multiplication of matrices | Learn about the fundamental ideas of matrix multiplication. |
| 2. | Properties of matrix multiplication: I | Learn about the various properties of the matrix multiplication. |
| 3. | Properties of matrix multiplication: II | Learn about the various properties of the matrix multiplication. |
| 4. | Matrix multiplication by a unit matrix | Learn about the matrix multiplication by a unit matrix. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question | Other | easy | 2 m. | Answer the multiple choice question by multiplication of matrices. |
| 2. | Two marks example problems I | Other | medium | 4 m. | Try to answer the questions by doing multiplication of matrices. |
| 3. | Two marks example problems II | Other | medium | 0 m. | Try to answer the questions by doing multiplication of matrices. |
| 4. | Two marks exercise problems I | Other | medium | 6 m. | In this exercise, find the order of matrices. |
| 5. | Two marks exercise problems II | Other | medium | 0 m. | Prove the given equations by doing multiplication of matrices. |
| 6. | Five marks example problems III | Other | hard | 0 m. | Verify the equations by doing multiplication of matrices. |
| 7. | Five marks exercise problems III | Other | hard | 0 m. | Verify the given equations by doing multiplication of matrices. |
| 8. | Five marks exercise problems IV | Other | medium | 0 m. | Prove the given equations by doing multiplication of matrices. |
| 9. | Five marks exercise problems V | Other | medium | 0 m. | Show the given equations are true by doing multiplication of matrices. |
| 10. | Five marks exercise problems VI | Other | hard | 0 m. | Verify the given equations by doing multiplication of matrices. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the order and product of the matrices | Other | easy | 3 m. | Practice to find the order and product of the given matrices. |
| 2. | Find the square matrix | Other | easy | 1.8 m. | Practice to calculate the sequare matrix of the given 3×3 matrix. |
| 3. | Matrix multiplication on 3 × 3 | Other | easy | 1.8 m. | Practice to do the matrix multiplication on 3×3 matrix. |
| 4. | Transpose multiplication on matrix | Other | easy | 2 m. | Practice to determine the transpose multiplication on given matrices. |
| 5. | Commutative property on matrix multiplication | Other | easy | 5 m. | Check whether the given matrix satisfies the commutative property on matrix multiplication. |
| 6. | Matrix multiplication on 2 × 3 | Other | medium | 1.2 m. | Practice to the matrix multiplication on 2×3 matrix. |
| 7. | Verify the associative property of matrices | Other | medium | 4 m. | Verify the associative property of matrix multiplication. |
| 8. | Addition and multiplication on a transpose matrix | Other | medium | 5 m. | Practise to do the addition and multiplication on a transpose matrix. |
| 9. | Verify the transpose multiplication on matrix | Other | medium | 5 m. | practice to verify the transpose multiplication on matrix. |
| 10. | Distributive property on matrix multiplication | Other | hard | 6 m. | Check whether the given matrix satisfies the distributive property on matrix multiplication. |
| 11. | Matrix multiplication: Analyze the given values and choose correct statement | Other | hard | 5 m. | Choose the correct statement(s) by analyzing the given matrices. |
| 12. | Determine the sales of the grains over the period | Other | hard | 3 m. | Practice to determine the sales of the grains over the period using the given informations. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the matrix AB | Other | medium | 2 m. | Try to answer the questions by doing multiplication of matrices. |
| 2. | Find the value of 'a' and 'b' | Other | medium | 2 m. | In this exercise, find the order of matrices. |
| 3. | Verify the following equation | Other | medium | 0 m. | Prove the given equations by doing multiplication of matrices. |
| 4. | Show the following | Other | hard | 0 m. | Verify the equations by doing multiplication of matrices. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiplication on 3×3 matrix | Other | medium | 1 m. | Practise to the matrix multiplication on 3×3 matrix. |
| 2. | Verify the square of the matrices is an unit matrix | Other | medium | 4 m. | Verify the square of the given matrices is an unit matrix. |
| 3. | Check the transpose matrix is an unit matrix | Other | medium | 3 m. | Check the transpose matrix is an unit matrix. |
| 4. | Solve the given matrix | Other | hard | 4 m. | Practice to the solve and find the required value of the given matrix. |
| 5. | Multiply the matrices | Other | medium | 2 m. | Try to answer the questions by doing multiplication of matrices. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | medium | 9 m. | |
| 2. | Homework II | 00:20:00 | medium | 7 m. | |
| 3. | Homework III | 00:20:00 | medium | 4.8 m. | |
| 4. | Homework IV | 00:20:00 | medium | 5.8 m. | |
| 5. | Homework V | 00:15:00 | medium | 3.8 m. | |
| 6. | Revision test I | 00:15:00 | medium | 10 m. | |
| 7. | Revision test II | 00:15:00 | medium | 7 m. | |
| 8. | Revision test III | 00:15:00 | medium | 7 m. | |
| 9. | Revision test IV | 00:15:00 | medium | 8.2 m. | |
| 10. | Revision test V | 00:15:00 | medium | 10 m. | |
| 11. | Periodic Assessment | 00:10:00 | medium | 2 m. |
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