The video tutorial demonstrates that the multiplication of two 2x2 matrices is generally not commutative. It begins by explaining the concept of commutativity and then defines two matrices, A and B. The tutorial walks through the process of multiplying these matrices in both orders, A*B and B*A, showing that the results differ, thus proving that matrix multiplication is not commutative.

What is the main topic discussed in the video?

• Matrix inversion

• Non-commutative matrix multiplication

• Matrix addition

• Matrix subtraction

If matrix multiplication were commutative, what would be true?

• A plus B equals B plus A

• A times B equals B times A

• A divided by B equals B divided by A

• A minus B equals B minus A

What are the elements of matrix A?

• p, q, r, s

• w, x, y, z

• a, b, c, d

• 1, 2, 3, 4

What are the elements of matrix B?

• w, x, y, z

• a, b, c, d

• p, q, r, s

• 1, 2, 3, 4

What is the first step in multiplying matrices A and B?

• Add the elements

• Subtract the elements

• Multiply the first row of A by the first column of B

• Divide the elements

What is the upper left term of the resulting matrix from A times B?

• c times x plus d times z

• a times w plus b times y

• a times x plus b times z

• c times w plus d times y

What is the result of multiplying the first row of A by the second column of B?

• a times w plus b times y

• a times x plus b times z

• c times x plus d times z

• c times w plus d times y

What is the result of multiplying the second row of A by the first column of B?

• c times x plus d times z

• a times w plus b times y

• a times x plus b times z

• c times w plus d times y

What is the first step in multiplying matrices B and A?

• Add the elements

• Subtract the elements

• Divide the elements

• Multiply the first row of B by the first column of A

What is the upper left term of the resulting matrix from B times A?

• y times a plus z times c

• y times b plus z times d

• w times a plus x times c

• w times b plus x times d