Simplify the Matrix [[1,5,-5],[2,6,3]]*[[4x,4x],[2x,0]]

Problem

[[1,5,−5],[2,6,3]]*[[4*x,4*x],[2*x,0]]

Solution

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

2. Identify that matrix multiplication A×B is only defined if the number of columns in A equals the number of rows in B

3. Compare the dimensions: the first matrix has 3 columns, while the second matrix has 2 rows.

4. Conclude that since 3≠2 the operation is undefined.

Final Answer

[[1,5,−5],[2,6,3]]*[[4*x,4*x],[2*x,0]]=Undefined

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