How can I explain the result of of multiplications by matrices

1. How do you explain matrix multiplication?
2. What is the result of matrix multiplication?
3. What is the result of matrix multiplication of two matrices?
4. What is the result when a matrix is multiplied by the identity matrix?

How do you explain matrix multiplication?

The usual way to define matrix multiplication is as a summation or, more compactly, a dot product of rows of A and columns of B. The dot product of row 1 of A and column 1 of B will give the first entry of C. In general the ij-th entry of C is the i-th row of A dotted with the j-th column of B.

What is the result of matrix multiplication?

For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. The resulting matrix, known as the matrix product, has the number of rows of the first and the number of columns of the second matrix.

What is the result of matrix multiplication of two matrices?

The product of two matrices will be defined if the number of columns in the first matrix is equal to the number of rows in the second matrix. If the product is defined, the resulting matrix will have the same number of rows as the first matrix and the same number of columns as the second matrix.

What is the result when a matrix is multiplied by the identity matrix?

Just as any number remains the same when multiplied by 1, any matrix remains the same when multiplied by the identity matrix.