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Exercises. Matrix multiplication.

F1


Rules. Matrix multiplication.

Matrix A can be multiplied by a matrix B if the number of columns of matrix A equals the number of rows of the matrix B.

Matrix multiplication (product of matrices) A and B with dimensions m×n and n×k is the operation of finding the matrix C with size m×k, all of whose elements are equal
$c_{ij} = \sum_{k=1}^n a_{ik} b_{kj}$

Exercise. Multiplication of two matrices (matrix product).

Given two matrices A and B:

A =
7
5
6
10
6
-3
-9
8
-4

B =
1
4
6
1
8
-2
-4
1
6

Find the value of the matrix: C = A · B

Select the size of the matrix С:
Number of rows:
Number of columns:

Write the answer and press the button "Submit".


C = ...

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