Matrices Operations

Find the sum of the matrices A = [[2, 3], [4, 5]] and B = [[1, 2], [3, 4]].

• [[3, 5], [7, 9]]

• [[1, 3], [2, 4]]

• [[5, 7], [9, 11]]

• [[6, 8], [10, 12]]

Tags

CCSS.HSN.VM.C.8

Calculate the difference between the matrices C = [[5, 6], [7, 8]] and D = [[3, 2], [1, 4]].

• [[6, 5], [4, 3]]

• [[2, 4], [6, 4]]

• [[1, 2], [3, 4]]

• [[4, 3], [2, 1]]

Tags

CCSS.HSN.VM.C.8

Determine the product of the matrices E = [[1, 2], [3, 4]] and F = [[5, 6], [7, 8]].

• [[11, 13], [15, 17]]

• [[19, 22], [43, 50]]

• [[5, 6], [7, 8]]

• [[1, 2], [3, 4]]

Tags

CCSS.HSN.VM.C.8

CCSS.HSN.VM.C.9

Find the determinant of the matrix G = [[3, 4], [5, 6]].

• The determinant of the matrix G is 3*6 - 4*5 = 18 - 20 = -2

• The determinant of the matrix G is 3*6 + 4*5 = 18 + 20 = 38

• The determinant of the matrix G is 3*5 - 4*6 = 15 - 24 = -9

• The determinant of the matrix G is 3*4 - 5*6 = 12 - 30 = -18

Tags

CCSS.HSN.VM.C.12

Find the inverse of the matrix A = [[1, 2], [3, 4]].

• [[-2, 1], [1.5, -0.5]]

• [[4, 3], [2, 1]]

• [[1, 0], [0, 1]]

• [[2, -1], [-3, 1]]

Tags

CCSS.HSA.REI.C.9

Solve the system of equations using an inverse matrix: 2x + 3y = 7 and 4x + y = 9.

• The solution is x = 2 and y = 1.

• The solution is x = 1 and y = 2.

• The solution is x = 3 and y = 1.

• The solution is x = 1 and y = 1.

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.8

CCSS.HSA.REI.C.9

What is the result of multiplying matrices M = [[3, 4, 2], [1, 5, 0]] and N = [[13, 9], [8, 7], [6, 4]]?

• [[83, 63], [53, 42]]

• [[92, 73], [46, 35]]

• [[76, 58], [40, 35]]

• [[74, 55], [46, 35]]

Tags

CCSS.HSN.VM.C.8

Determine the determinant of the matrix K = [[-2, 3, 1], [4, 2, -5], [1, 0, 3]].

• 0

• -53

• -65

• 11

Solve the system of equations using Cramer's Rule: 3x - y = 7 and 5x + 2y = 19.

• The solution is x = 3 and y = 2.

• The solution is x = 4 and y = 5.

• The solution is x = 5 and y = 1.

• The solution is x = 2 and y = 4.

Tags

CCSS.HSA.REI.C.6

Solve the system of equations using matrices: 3x + 2y - z = 11, 2x - y + 3z = 4, and x + 3y - 2z = 9.

• The solution for the system of equations is x = 3, y = 2, and z = 1.

• The solution for the system of equations is x = 3, y = 1, and z = 2.

• The solution for the system of equations is x = 2, y = 3, and z = 1.

• The solution for the system of equations is x = 1, y = 3, and z = 2.

Tags

CCSS.HSA.REI.C.8

CCSS.HSA.REI.C.9