4.Determinants and Matrices Quiz

What is the formula for the area of a triangle with vertices (x1, y1), (x2, y2) and (x3, y3)?

• 1/2(x3(y2–y1) + x1(y3–y2) + x2(y1–y3))

• 1/2(x2(y1–y3) + x3(y2–y1) + x1(y3–y2))

• 1/2(x1(y3–y2) + x2(y1–y3) + x3(y2–y1))

• 1/2(x1(y2–y3) + x2(y3–y1) + x3(y1–y2))

Tags

CCSS.HSG.GPE.B.7

What is the minor of an element aij of a determinant?

• The sum of the elements in the ith row and jth column

• The determinant obtained by deleting the ith row and jth column

• The product of the elements in the ith row and jth column

• The square of the element aij

How is the cofactor of an element aij defined?

• Aij = (-1)ijMij, where Mij is the square of the element aij

• Aij = (-1)ijMij, where Mij is the product of the elements in the ith row and jth column

• Aij = (-1)ijMij, where Mij is the determinant obtained by deleting the ith row and jth column

• Aij = (-1)ijMij, where Mij is the sum of the elements in the ith row and jth column

When is a system of equations said to be consistent?

• When its solution exists

• When its solution does not exist

• When it has infinite solutions

• When it has no variables

Tags

CCSS.8.EE.C.8B

What is an inconsistent system of equations?

• A system with no variables

• A system with no solution

• A system with infinite solutions

• A system with a unique solution

Tags

CCSS.8.EE.C.8B

What is the determinant of the matrix | 2 3 | | 5 7 | ?

• -1

• 1

• 4

• -4

What is the area of a triangle with vertices (1, 2), (4, 5) and (7, 8)?

• 12

• 6

• 15

• 9

Tags

CCSS.HSG.GPE.B.7

What is the minor of the element in the second row and third column of a determinant?

• The square of the element in the second row and third column

• The product of the elements in the second row and third column

• The sum of the elements in the second row and third column

• The determinant obtained by deleting the second row and third column

What is the cofactor of the element in the first row and second column of a determinant?

• (-1)M, where M is the minor of the element

• (-1)M, where M is the sum of the elements in the first row and second column

• (-1)M, where M is the product of the elements in the first row and second column

• (-1)M, where M is the square of the element

When does a system of equations have infinite solutions?

• When it has no variables

• When its solution exists

• When its determinant is zero

• When it has no solution

Tags

CCSS.8.EE.C.8B