Simplify the Matrix [[4,4],[-2,3]][[1,-2],[4,20],[3,4]]

Problem

[[4,4],[−2,3]]*[[1,−2],[4,20],[3,4]]

Solution

1. Check for compatibility of the matrices for multiplication. The first matrix is a 2×2 matrix and the second matrix is a 3×2 matrix.

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

3. Determine the result of the operation. Since the first matrix has 2 columns and the second matrix has 3 rows, the number of columns in the first does not match the number of rows in the second (2≠3.

4. Conclude that the operation is undefined.

Final Answer

[[4,4],[−2,3]]*[[1,−2],[4,20],[3,4]]=Undefined

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