Question 1
Matrices and DeterminantsIf X = (2 3 / 1 4), Y = (1 5 / 0 3) and Z = (6 −1 / 1 2), find 5X − 2Y + 2Z. (Each matrix is written row by row; / separates the rows.)
- A.(−4 7 / 3 10)
- B.(4 7 / 3 −10)
- C.(20 3 / 7 18)
- D.(−20 3 / 7 −18)
Show the answer and explanation
Answer: C ((20 3 / 7 18))
Explanation
5X = (10 15 / 5 20), 2Y = (2 10 / 0 6), 2Z = (12 −2 / 2 4). So 5X − 2Y + 2Z = (10 − 2 + 12, 15 − 10 − 2 / 5 − 0 + 2, 20 − 6 + 4) = (20 3 / 7 18).