Determinants — Unit test

Question 1

Which matrix will always give a determinant of 0?

Revolt · Accepted Answer

a matrix having two equal rows

Question 2

Matrix P is shown below. Given that Matrix P equals Matrix Q, what is the value of

Revolt · Accepted Answer

16

Question 3

A triangle is located on a three-dimensional coordinate plane. Matrix A shows the location of each vertex, where the first column represents the x coordinate, the second column represents the y coordinate, and the third column represents the z coordinate.The triangle is dilated by a scale factor of 2, then translated by the factors in matrix B, resulting in an image triangle as represented by the equation below.In which directions are the vertices translated, as indicated by matrix B?

Revolt · Accepted Answer

3 units in the x direction, -2 units in the y direction, 1 unit in the z direction

Question 4

The linear system below represents the sales of large and small popcorn servings at a movie theater for two consecutive days.What is the size of the augmented matrix for this system?

Revolt · Accepted Answer

mc007-3.jpg

Question 5

Given , , and .What is Y if ?

Revolt · Accepted Answer

mc013-5.jpg

Question 6

What is the value of the element in row 1, column 1 of matrix X?

Revolt · Accepted Answer

mc026-2.jpg

Question 7

What is the area of a triangle with vertices at (–3, 3), (2, 3), and (4, 7)?

Revolt · Accepted Answer

10 square units

Question 8

Ines created a coefficient matrix to represent the system of linear equations below.Which type of matrix did Ines create?

Revolt · Accepted Answer

a diagonal matrix

Question 9

Matrix X is shown below.If matrices X and Y are equal, what is the value of

Revolt · Accepted Answer

40

Question 10

What is the determinant of ?

Revolt · Accepted Answer

–7

Determinants — Unit test Answers

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