Matrices - Types, Operations, Transpose

Grade 12 Maths Higher — Matrices - Types, Operations, Transpose: 25 practice questions with instant scoring and explanations.

1. A matrix with m rows and n columns is denoted as:
2. A square matrix A where aᵢⱼ = 0 for i ≠ j is:
3. A scalar matrix is a diagonal matrix where:
4. The identity matrix I of order n has:
5. The transpose of a matrix A (denoted Aᵀ) is obtained by:
6. If A is a 3×4 matrix, then Aᵀ is a:
7. A symmetric matrix A satisfies:
8. A skew-symmetric matrix A satisfies:
9. The diagonal elements of a skew-symmetric matrix must be:
10. If A is an m×n matrix and B is an n×p matrix, then AB is:
11. Matrix multiplication is:
12. For matrices A and B, (AB)ᵀ =
13. If A + B = B + A, then matrices follow the _____ property of addition:
14. The zero matrix 0 for matrix addition is:
15. For an invertible matrix A, AA⁻¹ =
16. If A is 2×3 and B is 3×2, then (AB) is: (Choose all applicable)
17. A matrix that equals its transpose is necessarily:
18. The trace of a square matrix A is:
19. If A is orthogonal, then AAᵀ =
20. A triangular matrix whose diagonal elements are all 1 is:
21. For any matrix A, (Aᵀ)ᵀ =
22. A matrix A is nilpotent of index k if:
23. The sum of a matrix and its transpose always gives a:
24. If A is square and A² = I, then A is:
25. Review question for Matrices - Types, Operations, Transpose