Grade 11 Mathematics chapter 3

Welcome to your Grade 11 Mathematics chapter 3

After carefully reading the following 30 questions, choose the correct answer.

1. 
A matrix is a rectangular array of numbers arranged in:

2. 
If a matrix has m rows and n columns, its order is:

3. 
The individual numbers in a matrix are called:

4. 
Two matrices A and B are equal if:

5. 
To add two matrices A and B, they must have:

6. 
If k is a scalar and A is a matrix, then kA is obtained by:

7. 
The zero matrix O is a matrix where:

8. 
For matrix multiplication AB to be defined, the number of columns in A must be:

9. 
In general, matrix multiplication is:

10. 
A square matrix is a matrix with:

11. 
A identity matrix I is a square matrix with:

12. 
The transpose of a matrix A, denoted AT, is obtained by:

13. 
A square matrix A is symmetric if:

14. 
A diagonal matrix is a square matrix where:

15. 
A scalar matrix is a diagonal matrix where:

16. 
Which of the following is NOT an elementary row operation?

17. 
A matrix is in row echelon form if:

18. 
In a row echelon form, the first non-zero entry in a non-zero row is called:

19. 
Reduced row echelon form (RREF) requires that each leading entry is:

20. 
A system of linear equations is consistent if it has:

21. 
If a system of equations has more variables than equations, it usually has:

22. 
The matrix containing coefficients and constants of a system is the:

23. 
If A is a square matrix, its inverse A−1 satisfies:

24. 
Gaussian elimination is a method used to:

25. 
A matrix A is invertible if and only if its determinant is:

26. 
For a 2×2 matrix A=(ac​bd​), the determinant is:

27. 
If A and B are invertible matrices of the same order, (AB)−1=

28. 
Gauss-Jordan elimination transforms the augmented matrix into:

29. 
If a row in the row echelon form of an augmented matrix is $[0, 0, \dots, 0

30. 
The sum A+B is commutative, meaning:

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