Matrix Operations (addition, scalar multiplication)

Grade 12 Maths — Matrix Operations (addition, scalar multiplication): 25 practice questions with instant scoring and explanations.

1. Two matrices can be added if they have:
2. If A and B are 3 × 3 matrices, then A + B is:
3. Matrix addition is:
4. If A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], then A + B equals:
5. The additive identity for matrices is:
6. If A + X = B, then X equals:
7. Scalar multiplication of a matrix k·A means:
8. If A = [[1, 2], [3, 4]] and k = 2, then 2A equals:
9. The property (k₁ + k₂)A = k₁A + k₂A for scalars and matrices is called:
10. If A is an m × n matrix and k is a scalar, then kA is:
11. The additive inverse of matrix A is:
12. If A = [[2, -1], [3, 4]], then -2A equals:
13. Matrix addition is associative: (A + B) + C = A + (B + C). This is:
14. If A + B = 0 (zero matrix), then B is called:
15. For matrices, the distributive property states: k(A + B) equals:
16. If A = [[1, 0, 2], [3, 1, 4]] and B = [[2, 1, 1], [0, 2, 3]], then A - B equals:
17. The property k₁(k₂A) = (k₁k₂)A is called:
18. If 3A = [[6, 9], [12, 15]], then A equals:
19. For scalar multiplication, 1·A equals:
20. If A + A = [[4, 6], [8, 10]], then A equals:
21. The zero matrix 0 + A equals:
22. For matrices, k·0 (where 0 is zero matrix) equals:
23. If A = [[a, b], [c, d]], then 0·A equals:
24. What is f⁻¹(x) if f(x) = 3x?
25. Solve: 2x + 3 = 11