Evaluating 2x2 Determinants (9.7.1)

Question 1

• A determinant is a number associated with a square matrix.

Answer 1

• A determinant is a number associated with a square matrix.

Question 2

• A square matrix has the same number of columns as rows.

Answer 2

• A square matrix has the same number of columns as rows.

Question 3

• The numbers in a matrix are called the elements of the matrix.

Answer 3

• The numbers in a matrix are called the elements of the matrix.

Question 4

• Determinant notation: det(A) or |A|, where A represents the matrix.

Answer 4

• Determinant notation: det(A) or |A|, where A represents the matrix.

Question 5

• To calculate the determinant of a 2x2 matrix, subtract the product of the two elements on the right-left diagonal from the product of the two elements on the left-right diagonal. (The left-right diagonal is the series of elements from the upper-left corner to lower-right corner. The right-left diagonal is the series of elements from the upper-right corner to lower-left corner.)

Answer 5

• To calculate the determinant of a 2x2 matrix, subtract the product of the two elements on the right-left diagonal from the product of the two elements on the left-right diagonal. (The left-right diagonal is the series of elements from the upper-left corner to lower-right corner. The right-left diagonal is the series of elements from the upper-right corner to lower-left corner.)

Question 6

• A singular matrix is one whose determinant is 0.

Answer 6

• A singular matrix is one whose determinant is 0.

Question 7

• A nonsingular matrix is one whose determinant is not 0.

Answer 7

• A nonsingular matrix is one whose determinant is not 0.