Multiply the Matrices [[1800,600,6000]]*[[1.40],[3.10],[1.30]]

Problem

[[1800,600,6000]]*[[1.40],[3.10],[1.30]]

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, so 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.

Result=(1800×1.40)+(600×3.10)+(6000×1.30)

3. Calculate each individual product within the sum.

1800×1.40=2520

600×3.10=1860

6000×1.30=7800

4. Sum the results to find the final value.

2520+1860+7800=12180

Final Answer

[[1800,600,6000]]*[[1.40],[3.10],[1.30]]=[12180]

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