Spltv menggunakan matriks

Solve the system of equations using elimination: 2x + 3y + z = 1, x - y + 2z = 3, 3x + 2y - z = 4.

• (2, -1, 1)

• (3, -2, 2)

• (0, 1, 3)

• (1, 0, 0)

Use substitution to solve: x + 2y + 3z = 6, 2x - y + z = 4, x + y - z = 1.

• x = 5/3, y = 3/5, z = -2/15

• x = 2, y = 2, z = 2

• x = 1, y = 2, z = 3

• x = 0, y = 0, z = 0

Calculate the determinant of the matrix: [[1, 2, 3], [4, 5, 6], [7, 8, 9]].

• 6

• -1

• 12

• 0

Find the inverse of the matrix: [[1, 2, 3], [0, 1, 4], [5, 6, 0]].

• [[1, 0, 0], [0, 1, 0], [0, 0, 1]]

• [[-24, 18, 6], [20, -15, -4], [-5, 4, 1]]

• [[0, 1, 2], [3, 4, 5], [6, 7, 8]]

• [[1, 2, 3], [0, 1, 4], [5, 6, 0]]

Solve using elimination: 3x + y - z = 7, 2x - 4y + 5z = -1, x + 3y + z = 4.

• (2, 1, 3)

• (0, -1, 5)

• (3, 0, 2)

• (1, 2, 0)

Use substitution to find x, y, z: 4x + y + 2z = 8, x - 2y + 3z = 1, 2x + 3y - z = 3.

• x = 3, y = -1, z = 0

• x = 2, y = -2, z = -1

• x = 1, y = 0, z = 3

• x = 0, y = 2, z = 4

Calculate the determinant of: [[2, 3, 1], [1, 0, 4], [3, 5, 2]].

• 7

• -3

• -5

• 0

Find the inverse of: [[2, 1, 3], [1, 2, 1], [3, 0, 2]].

• [[-2/9, 1/9, 1/3], [1/9, 2/9, -1/3], [1/3, -1/3, 2/9]]

• [[0, 1, 0], [1, 0, 0], [0, 0, 1]]

• [[1, 0, 0], [0, 1, 0], [0, 0, 1]]

• [[1, 1, 1], [1, 1, 1], [1, 1, 1]]

Solve the system: x + y + z = 6, 2x + 3y + z = 14, x - y + 2z = 2 using elimination.

• (3, 3, 0)

• (2, 2, 2)

• (4, 2, 0)

• (1, 1, 4)

Use substitution to solve: 5x + 2y + z = 10, 3x - y + 4z = 5, x + 4y - z = 3.

• x = 2, y = 1, z = 5

• x = -1, y = 4, z = 6

• x = 1, y = 3, z = 0

• x = 0, y = 2, z = 8