Matrix Multiplication and Properties

The video tutorial explains that matrix multiplication is non-commutative, meaning A x B is not equal to B x A. It defines two matrices, A and B, and demonstrates their multiplication, showing the resulting matrices have different orders and values. The tutorial provides a detailed calculation of both A x B and B x A, concluding with the non-commutative nature of matrix multiplication.

What is the main topic discussed in the video?

• Matrix addition

• Matrix subtraction

• Non-commutative matrix multiplication

• Matrix transposition

What are the elements of matrix A?

• 6, 3, -9, -8, 4, 7

• 7, 8, 9, 10, 11, 12

• 2, 3, 4, 6, 5, 7

• 1, 2, 3, 4, 5, 6

What are the elements of matrix B?

• 2, 3, 4, 6, 5, 7

• 6, 3, -9, -8, 4, 7

• 1, 2, 3, 4, 5, 6

• 7, 8, 9, 10, 11, 12

What is the order of matrix A?

• 2 rows, 3 columns

• 3 rows, 2 columns

• 2 rows, 2 columns

• 3 rows, 3 columns

What is the order of matrix B?

• 2 rows, 3 columns

• 3 rows, 3 columns

• 3 rows, 2 columns

• 2 rows, 2 columns

Which of the following is true about the order of matrices A and B?

• A and B have the same number of columns

• A and B have the same number of rows

• B has more rows than A

• A has more columns than B

What is the resulting order of the matrix when A is multiplied by B?

• 3x2

• 2x2

• 2x3

• 3x3

What is the resulting order of the matrix when B is multiplied by A?

• 2x2

• 3x2

• 2x3

• 3x3

What is the first element of the matrix resulting from A x B?

• 45

• 0

• 12

• -21

What is the second element of the first row in the matrix resulting from A x B?

• 45

• 35

• 16

• -6