Matrix Multiplication Quiz

What must be true about the dimensions of two matrices for them to be multiplied?

• Both matrices must have the same number of columns.

• Both matrices must have the same number of rows.

• The number of columns in the first matrix must equal the number of rows in the second matrix.

• The number of rows in the first matrix must equal the number of columns in the second matrix.

Why is it important to write out the order of each matrix before multiplying?

• To check if the inner dimensions match for multiplication.

• To ensure the matrices are square.

• To determine if the matrices can be added.

• To find the determinant of the matrices.

When multiplying two 2x2 matrices, how many entries will the resulting matrix have?

• Two

• Four

• Eight

• Six

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

• The fourth entry of the resulting matrix

• The third entry of the resulting matrix

• The second entry of the resulting matrix

• The first entry of the resulting matrix

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

• The fourth entry of the resulting matrix

• The second entry of the resulting matrix

• The first entry of the resulting matrix

• The third entry of the resulting matrix

In the example of multiplying matrices A and B, what is the value of the entry in the first row, second column?

• -3

• -6

• 3

• 6

What is the significance of the 'fingers' method in matrix multiplication?

• It helps in subtracting the matrices.

• It helps in tracking the rows and columns to multiply.

• It helps in determining the size of the resulting matrix.

• It helps in adding the matrices.

Why does the order of matrices matter in multiplication?

• Because the resulting matrix will have different values.

• Because the resulting matrix will be a different type.

• Because the resulting matrix will have the same values.

• Because the resulting matrix will always be the same size.

In the example of multiplying a 3x2 matrix by a 2x2 matrix, what is the size of the resulting matrix?

• 2x2

• 3x2

• 2x3

• 3x3

What happens if the inner dimensions of two matrices do not match?

• The matrices can still be multiplied.

• The matrices cannot be multiplied.

• The resulting matrix will be a zero matrix.

• The resulting matrix will be an identity matrix.