No. The dimensions are not correct.
When a row matrix is multiplied by a rectangular matrix, the row matrix must be on the left.
Look at the dimensions of the operands and of the result:
Row Matrix x Matrix = Result Row Matrix 1 x M M x C 1 x C
A 1xC matrix is a row matrix of "C" number of columns. For each row in the following table, decide if the product can be formed and what the dimensions of the result will be.
Perform the following multiplication: