In Exercises 27 - 36, find (if possible) the following matrices: a. AB b. BA 1 2 A = [1 2 3 4], B = 3 4

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1. Identify the dimensions of matrices A and B. Matrix A is 1x4 and matrix B is 4x1.
2. To find AB, multiply the 1x4 matrix A by the 4x1 matrix B. The result will be a 1x1 matrix.
3. Calculate AB by multiplying each element of the row of A by the corresponding element of the column of B and summing the products.
4. To find BA, multiply the 4x1 matrix B by the 1x4 matrix A. The result will be a 4x4 matrix.
5. Calculate BA by multiplying each element of the column of B by each element of the row of A, filling in the 4x4 matrix with these products.