Multiply the Matrices [[2,4,6]]*[[1],[4],[7]]

Problem

[[2,4,6]]*[[1],[4],[7]]

Solution

1. Identify the dimensions of the matrices to ensure multiplication is possible. The first matrix is a 1×3 row vector and the second is a 3×1 column vector.

2. Apply the dot product rule for matrix multiplication, which involves multiplying corresponding elements from the row of the first matrix and the column of the second matrix.

3. Calculate the product of each pair: 2×1 4×4 and 6×7

2×1=2

4×4=16

6×7=42

4. Sum the results of these products to find the single element of the resulting 1×1 matrix.

2+16+42=60

Final Answer

[[2,4,6]]*[[1],[4],[7]]=[(60)]

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