Multiply the Matrices

Problem

[[43],[3.9],[d]]*[[−1,20,−4/3],[2,−20,1],[0,0,1/3]]

Solution

1. Check dimensions for matrix multiplication. The first matrix is a 3×1 matrix (3 rows, 1 column) and the second matrix is a 3×3 matrix (3 rows, 3 columns).

2. Determine compatibility of the operation. For matrix multiplication A×B the number of columns in A must equal the number of rows in B

3. Identify the mismatch in dimensions. The first matrix has 1 column, while the second matrix has 3 rows.

4. Conclude that the operation is undefined. Since 1≠3 these matrices cannot be multiplied in the order given.

Final Answer

[[43],[3.9],[d]]*[[−1,20,−4/3],[2,−20,1],[0,0,1/3]]=Undefined

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