Multiply the Matrices [[3,4,5,6]][[5],[6],[7],[8]]

Problem

[[3,4,5,6]]*[[5],[6],[7],[8]]

Solution

1. Identify the dimensions of the matrices. The first matrix is a 1×4 row vector and the second is a 4×1 column vector. The resulting matrix will be a 1×1 scalar.

2. Apply the dot product formula for matrix multiplication. Multiply each corresponding element from the row of the first matrix by the column of the second matrix.

3⋅5+4⋅6+5⋅7+6⋅8

3. Calculate the individual products.

15+24+35+48

4. Sum the products to find the final value.

15+24=39

39+35=74

74+48=122

Final Answer

[[3,4,5,6]]*[[5],[6],[7],[8]]=122

Want more problems? Check here!