Mastering Matrices and Linear Algebra

What is the result of adding the matrices [[1, 2], [3, 4]] and [[5, 6], [7, 8]]?

• [[6, 8], [10, 12]]

• [[6, 7], [8, 9]]

• [[5, 8], [10, 12]]

• [[1, 2], [3, 4]]

Tags

CCSS.HSN.VM.C.8

Calculate the product of the matrices [[1, 2], [3, 4]] and [[5], [6]]

• [[15], [35]]

• [[17], [39]]

• [[10], [24]]

• [[20], [30]]

Tags

CCSS.HSN.VM.C.8

Find the determinant of the matrix [[3, 2], [1, 4]].

• 8

• 12

• 5

• 10

What is the inverse of the matrix [[4, 7], [2, 6]]?

• [[1, 2], [3, 4]]

• [[4, 2], [6, 7]]

• [[0, 1], [1, 0]]

• [[0.6, -0.7], [-0.2, 0.4]]

Tags

CCSS.HSA.REI.C.9

Solve the linear equation system: 2x + 3y = 6 and x - y = 1.

• (9/5, 4/5)

• (3, 0)

• (0, 2)

• (1, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Determine the eigenvalues of the matrix [[2, 1], [1, 2]].

• [1, 1]

• [2, 2]

• [3, 1]

• [4, 0]

What is the result of subtracting the matrix [[1, 0], [0, 1]] from [[3, 4], [5, 6]]?

• [[2, 4], [5, 5]]

• [[4, 4], [5, 7]]

• [[3, 4], [5, 6]]

• [[2, 0], [0, 5]]

Tags

CCSS.HSN.VM.C.8

Multiply the matrices [[1, 2, 3], [4, 5, 6]] and [[7], [8], [9]].

• [[50], [122]]

• [[60], [110]]

• [[45], [90]]

• [[30], [70]]

Tags

CCSS.HSN.VM.C.8

Calculate the determinant of the matrix [[1, 2, 3], [0, 1, 4], [5, 6, 0]].

• 1

• -1

• 12

• 0

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

• [[4, 3], [2, 1]]

• [[0, 1], [1, 0]]

• [[1, 2], [3, 5]]

• [[-2, 1], [1.5, -0.5]]

Tags

CCSS.HSA.REI.C.9