Simplify the Matrix

Problem

[[4,5,3],[5,3,4]]*[[4,5,5,2],[1,6,3,2],[4,5,6,6],[2,4,9,4]]

Solution

1. Check dimensions for matrix multiplication. The first matrix is a 2×3 matrix and the second matrix is a 4×4 matrix.

2. Identify the rule for matrix multiplication. For the product A*B to exist, the number of columns in matrix A must equal the number of rows in matrix B

3. Compare the dimensions. Matrix A has 3 columns and matrix B has 4 rows.

4. Conclude that since 3≠4 the operation is undefined.

Final Answer

[[4,5,3],[5,3,4]]*[[4,5,5,2],[1,6,3,2],[4,5,6,6],[2,4,9,4]]=Undefined

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