Multiply the Matrices a[[1,4,2]][[5],[6],[6]]

Problem

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

Solution

1. Identify the dimensions of the matrices. The first matrix is a 1×3 row vector and the second is a 3×1 column vector. The result will be a 1×1 matrix (a scalar).

2. Apply the formula for matrix multiplication by calculating the dot product of the row and the column. Multiply corresponding elements and sum them.

3. Calculate the product of each pair of elements.

(1×5)+(4×6)+(2×6)

4. Simplify the expression by performing the multiplication and addition.

5+24+12

29+12=41

Final Answer

[[1,4,2]]*[[5],[6],[6]]=41

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