Matrix Multiplication and Transpose Quiz

What are the dimensions of matrix A?

• 2 by 2

• 3 by 2

• 2 by 3

• 3 by 3

What is the result of transposing a 3 by 2 matrix?

• 3 by 3

• 2 by 3

• 2 by 2

• 3 by 2

When multiplying A by its transpose, what should the inner dimensions be?

• 2

• 3

• 1

• 4

What is the size of the resulting matrix when A is multiplied by its transpose?

• 2 by 3

• 3 by 3

• 3 by 2

• 2 by 2

Which operation is performed first when calculating the product of A and its transpose?

• Multiplication

• Subtraction

• Division

• Addition

Which of the following is a pattern observed in the resulting matrix from A times its transpose?

• All elements are zero

• The main diagonal is the sum of perfect squares

• All elements are negative

• The matrix is not symmetric

What is the size of the resulting matrix when the transpose of A is multiplied by A?

• 3 by 3

• 2 by 3

• 2 by 2

• 3 by 2

What is the sum of the perfect squares in the main diagonal of the resulting matrix from the transpose of A times A?

• 53

• 50

• 41

• 74

What is the value of the off-diagonal elements in the resulting matrix from the transpose of A times A?

• -35

• -6

• -41

• 0

What is the main focus of the final section of the video?

• Introduction to matrices

• Finding the transpose of a matrix

• Reverse multiplication and recap

• Patterns in matrix multiplication