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Each column of the matrix represents a vertex of a rectangle on the coordinate plane. If Fan scales the rectangle by finding 4A, what are the vertices of the scaled rectangle?

Question illustration
A
(4, 4), (24, 4), (24, 20), (4, 20)
B
(5, 5), (10, 5), (10, 9), (5, 9)
C
(4, 4), (6, 1), (6, 5), (1, 5)
D
(5, 5), (6, 1), (6, 5), (4, 20)
3

What are the values of c and d in the matrix subtraction below?

Question illustration
A
mc009-2.jpg
Option A
B
mc009-3.jpg
Option B
C
mc009-4.jpg
Option C
D
mc009-5.jpg
Option D
4

What is the solution to the system of linear equations represented by the matrix equations below?

Question illustration
A
x = 3, y = 0
B
x = 0, y =
Option B
C
The system of equations has no solution.
D
The system of equations has infinite solutions.
6

What is the product?

Question illustration
A
mc020-2.jpg
Option A
B
mc020-3.jpg
Option B
C
mc020-4.jpg
Option C
D
mc020-5.jpg
Option D
9

What is the value of C in the matrix equation below?

Question illustration
A
mc021-2.jpg
Option A
B
mc021-3.jpg
Option B
C
mc021-4.jpg
Option C
D
mc021-5.jpg
Option D
11

Which of the following sets of data would you likely represent with a square matrix?

A
A shoe salesperson wants to use an augmented matrix to represent the quantity of children’s shoes and adult shoes sold at his store for two days.
B
A racquetball club has a tournament where each member plays every other member and represents the scores in a matrix.
C
A student wants to write a coefficient matrix representing a linear system with two equations and three unknowns.
D
A teacher wants to write an augmented matrix representing a linear system with four equations and four unknowns.
13

Given , , .What is the value of matrix B if A + B = C?

Question illustration
A
mc012-4.jpg
Option A
B
mc012-5.jpg
Option B
C
mc012-6.jpg
Option C
D
mc012-7.jpg
Option D
16

What is the product?

Question illustration
A
mc005-2.jpg
Option A
B
mc005-3.jpg
Option B
C
mc005-4.jpg
Option C
D
mc005-5.jpg
Option D
20

If and , then which statement is true?

Question illustration
A
det(A) = det(B)
B
det(A) = –det(B)
C
det(A) ¹ 0 and det(B) = 0
D
det(A) = 0 and det(B) ¹ 0

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