UPSKILL MATH PLUS

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Methodical recommendation:

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 I Other easy 1 m. Answer the multiple choice question by multiplication of matrices.
2. Multiple choice question II Other easy 1 m. Answer the multiple choice question by multiplication of matrices.
3. Two marks example problem I Other medium 2 m. Try to answer the questions by doing multiplication of matrices.
4. Two marks example problem II Other medium 2 m. Try to answer the questions by doing multiplication of matrices.
5. Two marks example problem III Other medium 2 m. Try to answer the questions by doing multiplication of matrices.
6. Two marks example problem IV Other medium 2 m. Try to answer the questions by doing multiplication of matrices.
7. Two marks exercise problem I Other medium 2 m. In this exercise, find the order of matrices.
8. Two marks exercise problem II Other medium 2 m. In this exercise, find the order of matrices.
9. Two marks exercise problem III Other medium 2 m. In this exercise, find the order of matrices.
10. Two marks exercise problem IV Other medium 1 m. Prove the given equations by doing multiplication of matrices.
11. Two marks exercise problem V Other medium 2 m. Prove the given equations by doing multiplication of matrices.
12. Five marks example problem I Other hard 5 m. Verify the equations by doing multiplication of matrices.
13. Five marks example problem II Other hard 5 m. Verify the equations by doing multiplication of matrices.
14. Five marks example problem III Other hard 0 m. Verify the equations by doing multiplication of matrices.
15. Five marks exercise problem I Other hard 5 m. Verify the given equations by doing multiplication of matrices.
16. Five marks exercise problem II Other hard 5 m. Verify the given equations by doing multiplication of matrices.
17. Five marks exercise problem III Other hard 5 m. Verify the given equations by doing multiplication of matrices.
18. Five marks exercise problem IV Other medium 5 m. Prove the given equations by doing multiplication of matrices.
19. Five marks exercise problem V Other medium 5 m. Show the given equations are true by doing multiplication of matrices.
20. Five marks exercise problem VI Other medium 5 m. Show the given equations are true by doing multiplication of matrices.
21. Five marks exercise problem VII Other hard 5 m. Verify the given equations by doing multiplication of matrices.
22. Five marks exercise problem VIII Other hard 5 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.