Finding Determinants of 2x2 and 3x3 Matrices

What is the formula for finding the determinant of a 2x2 matrix?

• a * d - b * c

• a * d + b * c

• a * b - c * d

• a * c - b * d

Calculate the determinant of the matrix [3, 5; -4, 7].

• 41

• 35

• 29

• 21

What is the determinant of the matrix [-7, 4; 8, -3]?

• 5

• 7

• 3

• 1

What is the first step in finding the determinant of a 3x3 matrix?

• Add all elements

• Transpose the matrix

• Get rid of the first row and first column

• Multiply all elements

Which element is used first in the determinant formula for a 3x3 matrix?

• C1

• A2

• A1

• B1

What is the determinant of the matrix [2, 4, -3; 5, 7, 6; 8, 1, 9]?

• -114

• 114

• 441

• -441

In the example matrix [2, 4, -3; 5, 7, 6; 8, 1, 9], what is the value of 7 * 9 - 1 * 6?

• 69

• 54

• 63

• 57

Tags

CCSS.HSN.VM.C.7

What is the determinant of the matrix [5, 7, 8; 4, -3, 6; 1, 7, 9]?

• 0

• 29

• -29

• 15

In the matrix [5, 7, 8; 4, -3, 6; 1, 7, 9], what is the value of -3 * 9 - 7 * 6?

• -27

• 27

• 42

• -42

What is the final step in calculating the determinant of a 3x3 matrix?

• Add all elements

• Combine the results of the 2x2 matrices

• Transpose the matrix

• Multiply all elements