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Methodical recommendation:
Theory
Number | Name | Description |
---|---|---|
Number 1. | Name Operations on matrices | Description Learn how to do the addition and subtraction of matrices. |
Number 2. | Name Multiplication of Matrix by a Scalar | Description Learn how to perform a multiplication of Matrix by a scalar. |
Number 3. | Name Properties of Matrix I | Description Learn about the various properties of the matrices. |
Number 4. | Name Properties of Matrix II | Description Learn about the various properties of the matrices. |
Number 5. | Name Additive identity and additive inverse | Description Learn about the additive identity and additive inverse of matrices. |
Textbook Questions
Number | Name | Type | Difficulty | Marks | Description |
---|---|---|---|---|---|
Number 1. | Name Multiple choice question | Type Other | Difficulty easy | Marks 1 m. | Description Apply the operations of matrices to find the answer. |
Number 2. | Name Two marks example problem I | Type Other | Difficulty medium | Marks 2 m. | Description Problems based on addition operation of matrices. |
Number 3. | Name Two marks example problem II | Type Other | Difficulty medium | Marks 2 m. | Description Problems based on addition operation of matrices. |
Number 4. | Name Two marks example problem III | Type Other | Difficulty medium | Marks 2 m. | Description Problems based on addition operation of matrices. |
Number 5. | Name Two marks exercise problem I | Type Other | Difficulty medium | Marks 2 m. | Description Work on the problem to find the answers using operations of matrices. |
Number 6. | Name Two marks exercise problem II | Type Other | Difficulty medium | Marks 2 m. | Description Work on the problem to find the answers using operations of matrices. |
Number 7. | Name Five marks example problem I | Type Other | Difficulty hard | Marks 5 m. | Description In this exercise, find the answers using operations of matrices. |
Number 8. | Name Five marks exercise problem II | Type Other | Difficulty hard | Marks 5 m. | Description This exercise is to check your knowledge in operations of matrices. |
Number 9. | Name Five marks exercise problem III | Type Other | Difficulty hard | Marks 5 m. | Description This exercise is to check your knowledge in operations of matrices. |
Number 10. | Name Five marks exercise problem IV | Type Other | Difficulty hard | Marks 5 m. | Description Try to solve the given questions using operations of matrices. |
Number 11. | Name Five marks exercise problem V | Type Other | Difficulty hard | Marks 5 m. | Description Try to solve the given questions using operations of matrices. |
Number 12. | Name Five marks exercise problem VI | Type Other | Difficulty hard | Marks 10 m. | Description Try to solve the given questions using operations of matrices. |
Number 13. | Name Five marks exercise problem VII | Type Other | Difficulty hard | Marks 5 m. | Description Try to solve the given questions using operations of matrices. |
Practice Questions
Number | Name | Type | Difficulty | Marks | Description |
---|---|---|---|---|---|
Number 1. | Name Addition on 2×2 matrices | Type Other | Difficulty easy | Marks 2 m. | Description Practise the addition on 2×2 matrices. |
Number 2. | Name Addition on 3×3 matrices | Type Other | Difficulty easy | Marks 2 m. | Description Practise the addition on 3×3 matrices. |
Number 3. | Name Additive Inverse matrix | Type Other | Difficulty easy | Marks 2 m. | Description Practise to the find the additive inverse of the given matrix. |
Number 4. | Name Find the matrix 'B' | Type Other | Difficulty easy | Marks 2 m. | Description Practise to find the matrix 'B' if (A+B) and 'A' matrix are given. |
Number 5. | Name Multiplication by a Scalar: 3×3 matrix | Type Other | Difficulty medium | Marks 3 m. | Description Practise the matrix multiplication by a Scalar on 3×3 matrix. |
Number 6. | Name Exam and marks: Addition on 4×4 matrices | Type Other | Difficulty medium | Marks 3 m. | Description Find the total marks in each subjects if the subjects marks are given as 3 × 3 matrices. |
Number 7. | Name Scalar multiplication: Find the value of the matrix | Type Other | Difficulty medium | Marks 4 m. | Description Practise to do a scalar multiplication by a on 3×3 matrices. |
Number 8. | Name Check the associative property on 3 × 2 matrix | Type Other | Difficulty medium | Marks 7 m. | Description Check the associative property on the given 3 × 2 matrix. |
Number 9. | Name Commutative property of matrices | Type Other | Difficulty medium | Marks 5.6 m. | Description Verify the commutative property of matrices on 3×3 matrices. |
Number 10. | Name Find the unknown values on 2 × 2 matrices | Type Other | Difficulty medium | Marks 4 m. | Description Practise to find the value of a, b, c, d from the given matrices. |
Number 11. | Name Associative property | Type Other | Difficulty hard | Marks 7 m. | Description Check whether the given matrices satisfy the associative property of addition. |
Number 12. | Name Determine the value of matrices | Type Other | Difficulty hard | Marks 4 m. | Description Practise to determine the value of given matrices. |
Number 13. | Name Calculate the value of variables x, y and z | Type Other | Difficulty hard | Marks 4 m. | Description Practise to calculate the value of variables x, y and z on 2×2 matrices. |
Number 14. | Name Verify the distributive property | Type Other | Difficulty hard | Marks 6 m. | Description Check whether the given matrices satisfy the distributive property of addition. |
Key Questions for School Exam Preparation
Number | Name | Type | Difficulty | Marks | Description |
---|---|---|---|---|---|
Number 1. | Name Find the matrix 2A + B | Type Other | Difficulty medium | Marks 2 m. | Description Problems based on addition operation of matrices. |
Number 2. | Name Find the unknown values of the variables | Type Other | Difficulty hard | Marks 5 m. | Description In this exercise, find the answers using operations of matrices. |
Number 3. | Name Verify the following | Type Other | Difficulty hard | Marks 0 m. | Description This exercise is to check your knowledge in operations of matrices. |
Number 4. | Name Determine the values of x, y and z | Type Other | Difficulty hard | Marks 10 m. | Description Try to solve the given questions using operations of matrices. |
Questions for Teacher Use
Number | Name | Type | Difficulty | Marks | Description |
---|---|---|---|---|---|
Number 1. | Name Check the additive inverse | Type Other | Difficulty easy | Marks 3 m. | Description Check the additive inverse on the given matrix. |
Number 2. | Name Scalar multiplication: Calculate the value of the matrix | Type Other | Difficulty medium | Marks 4 m. | Description Perform the scalar multiplication on 3×3 matrices and find the value of the given matrices. |
Number 3. | Name Solve: Calculate the x, y and z values | Type Other | Difficulty medium | Marks 3 m. | Description Solve the given matrices and calculate the x, y and z values. |
Number 4. | Name Solve: Find the x and y values | Type Other | Difficulty medium | Marks 2 m. | Description Solve the given matrices and calculate the x and y values. |
Number 5. | Name Scalar multiplication: Determine the value of the matrix | Type Other | Difficulty medium | Marks 4 m. | Description Perform the scalar multiplication on 3×3 matrices and find the value of the given matrices. |
Number 6. | Name Addition and subtraction of matrices | Type Other | Difficulty easy | Marks 2 m. | Description Apply the operations of matrices to find the answer. |
Periodic assessments
Number | Name | Recomended time: | Difficulty | Marks | Description |
---|---|---|---|---|---|
Number 1. | Name Homework I | Recomended time: 00:20:00 | Difficulty medium | Marks 23 m. | Description |
Number 2. | Name Homework II | Recomended time: 00:20:00 | Difficulty medium | Marks 10 m. | Description |
Number 3. | Name Homework III | Recomended time: 00:20:00 | Difficulty medium | Marks 13 m. | Description |
Number 4. | Name Homework IV | Recomended time: 00:20:00 | Difficulty medium | Marks 11.6 m. | Description |
Number 5. | Name Homework V | Recomended time: 00:20:00 | Difficulty medium | Marks 18 m. | Description |
Number 6. | Name Revision test I | Recomended time: 00:20:00 | Difficulty medium | Marks 10 m. | Description |
Number 7. | Name Revision test II | Recomended time: 00:20:00 | Difficulty medium | Marks 5 m. | Description |
Number 8. | Name Revision test III | Recomended time: 00:20:00 | Difficulty medium | Marks 16 m. | Description |
Number 9. | Name Revision test IV | Recomended time: 00:20:00 | Difficulty medium | Marks 7 m. | Description |
Number 10. | Name Revision test V | Recomended time: 00:20:00 | Difficulty medium | Marks 13 m. | Description |
Number 11. | Name Periodic Assessment - 3 | Recomended time: 00:10:00 | Difficulty medium | Marks 2 m. | Description PA3 |