Evaluating 2x2 Determinants (9.7.1) Flashcards Preview

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Flashcards in Evaluating 2x2 Determinants (9.7.1) Deck (7)
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1
Q

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

A

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

2
Q

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

A

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

3
Q

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

A

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

4
Q

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

A

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

5
Q

• 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.)

A

• 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.)

6
Q

• A singular matrix is one whose determinant is 0.

A

• A singular matrix is one whose determinant is 0.

7
Q

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

A

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

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