Write the order of matrix X.

Given:

A = [[4 sin30°, cos0°], [cos0°, 4 sin30°]]

B = [[4], [5]]

Since: sin30° = 1/2 and cos0° = 1

A = [[2,1], [1,2]]

Thus A is of order 2×2 and B is of order 2×1.

In AX = B, the product AX must also be of order 2×1.

Therefore X must have 2 rows and 1 column.

Answer:

Order of X = 2×1.

For AX to be defined, the number of rows of X must equal the number of columns of A, and the product must have the same order as B.