VectorMatrixMultipication.md (502B)
1 # Vector Matrix Multiplication 2 3 Khan 4 5 **Definition:** Vector matrix multiplication can be performed by taking the combination of the first column of the matrix with the first top row of the vector and then repeating this throughout. 6 7 As described above: 8 9 ``` 10 11 [2 1] [c] = [2c + 1d] = cv + dw 12 [4 2] [d] [4c + 2d] 13 14 ``` 15 16 Where the vector [2,4] is v and [1,2] 17 18 Let's do another one. 19 20 ``` 21 22 [2 4 8] [8] = [16 + 36 + 32] = [ 84] 23 [8 9 0] [9] [64 + 81 + 0 ] [145] 24 [7 8 1] [4] [56 + 72 + 4 ] [132] 25 26 ```