Matrices Operations

These matrices are being multiplied. Determine the dimension/size of the new matrix. 

• Can't multiply them

• 4  x  2

• 3  x  3

• 4  x  3

In Matrix R (pictured) what element is r₂₃ ?

• 8

• 9.01

• 6

• 1

What are the dimensions of this matrix?

• 3x1

• 1x3

• 3x3

• 1x1

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]]

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]]

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]]

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]]

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]]

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

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.