Matrix Operations Challenge

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

• [[6, 8], [10, 12]]

• [[6, 7], [8, 9]]

• [[1, 2, 3], [4, 5, 6]]

• [[5, 6], [7, 8]]

Calculate the transpose of the matrix C = [[1, 2, 3], [4, 5, 6]].

• [[1, 2, 3, 4], [5, 6, 7, 8]]

• [[1, 2], [3, 4], [5, 6]]

• [[1, 4, 7], [2, 5, 8]]

• [[1, 4], [2, 5], [3, 6]]

If D = [[2, 0], [1, 3]], what is the result of D + D?

• [[4, 1], [2, 6]]

• [[2, 0], [1, 5]]

• [[3, 0], [1, 4]]

• [[4, 0], [2, 6]]

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

• [[15, 18], [35, 42]]

• [[20, 24], [44, 52]]

• [[10, 12], [30, 36]]

• [[19, 22], [43, 50]]

What is the determinant of the matrix G = [[1, 2], [3, 4]]?

• -2

• -1

• 0

• 2

If H = [[0, 1], [1, 0]], what is H^T (the transpose of H)?

• [[0, 0], [1, 1]]

• [[1, 0], [0, 1]]

• [[1, 1], [0, 0]]

• [[0, 1], [1, 0]]

Calculate the sum of the matrices I = [[2, 3], [4, 5]] and J = [[1, 1], [1, 1]].

• [[1, 2], [3, 4]]

• [[3, 5], [6, 8]]

• [[2, 3], [4, 5]]

• [[3, 4], [5, 6]]

What is the product of the matrices K = [[1, 2]] and L = [[3], [4]]?

• 9

• 7

• 12

• 11

Find the determinant of the matrix M = [[2, 3], [5, 7]].

• 10

• -5

• 0

• -1

If N = [[1, 0], [0, 1]], what is N + N?

• [[1, 0], [0, 1]]

• [[2, 0], [0, 2]]

• [[0, 0], [0, 0]]

• [[2, 1], [1, 2]]