Summary Exercises of Matrix (Practical)

Exercices of the matrices
Carry out the indicated calculations with a = (3, -1, 4, 2), b = (6, 0, -1, 4), c = (-1, 3,
1, 5)
1) a + c
(𝟑, −𝟏, 𝟒, 𝟐) + (−𝟏, 𝟑, 𝟏, 𝟓) = (3 − 1; −1 + 3; 4 + 1; 2 + 5)
(𝟐, −𝟐, 𝟓, 𝟕)
2) b – a
(𝟔, 𝟎, −𝟏, 𝟒) − (𝟑, −𝟏, 𝟒, 𝟐) = (6 − 3; 0 + 1; −1 − 4; 4 − 2)
(𝟑, 𝟏, −𝟓, 𝟐)
3) c – a
(−𝟏, 𝟑, 𝟏, 𝟓) − (𝟑, −𝟏, 𝟒, 𝟐) = (−1 − 3; 3 + 1; 1 − 4; 5 − 2)
(−𝟒, 𝟒, −𝟑, 𝟑)
4) 4c
𝟒 ∗ (−𝟏, 𝟑, 𝟏, 𝟓) = (4 ∗ −1; 4 ∗ 3; 4 ∗ 1; 4 ∗ 5)
(−𝟖, 𝟏𝟐, 𝟒, 𝟐𝟎)
5) -2b
−𝟐 ∗ (𝟔, 𝟎, −𝟏, 𝟒) = (−2 ∗ 6; −2 ∗ 0; −2 ∗ −1; −2 ∗ 4) =
(−𝟏𝟐, 𝟎, 𝟐, −𝟖)


6) 7b + 4c
𝟕 ∗ (𝟔, 𝟎, −𝟏, 𝟒) + 𝟒 ∗ (−𝟏, 𝟑, 𝟏, 𝟓) =
(7 ∗ 6; 7 ∗ 0; 7 ∗ −1; 7 ∗ 4) + (4 ∗ −1; 4 ∗ 3; 4 ∗ 1; 4 ∗ 5) =
(42, 0, −7, 28) + (−4, 12, 4, 20)
(𝟑𝟖, 𝟏𝟐, −𝟑, 𝟒𝟖)
7) 2a – c
𝟐 ∗ (𝟑, −𝟏, 𝟒, 𝟐) − (−𝟏, 𝟑, 𝟏, 𝟓) = (2 ∗ 3; 2 ∗ −1; 2 ∗ 4; 2 ∗ 2) − (−1, 3, 1, 5) =
(6, −2, 8,4) − (−1, 3, 1, 5) = (6 + 1; −2 − 3; 8 − 1; 4 − 5) =
(𝟕, −𝟓, 𝟕, −𝟏)