AnswersPrecalculusIntroduction to Matrices

Matrices and Their Inverses Answers

10 verified answers1 views
1
Free Preview

What is the inverse of the matrix below?

Question illustration
A
mc014-2.jpg
Option A
B
mc014-3.jpg
Option B
C
mc014-4.jpg
Option C
D
mc014-5.jpg
Option D
3

Which of the following matrices has an inverse?

A
mc004-1.jpg
Option A
B
mc004-2.jpg
Option B
C
mc004-3.jpg
Option C
D
mc004-4.jpg
Option D
4

Which of the following represents the inverse of the matrix below?

Question illustration
A
mc002-2.jpg
Option A
B
mc002-3.jpg
Option B
C
mc002-4.jpg
Option C
D
mc002-5.jpg
Option D
5

Given matrices S and T below, which statement is true?

Question illustration
A
Matrices S and T are not inverses of each other because S+T I.
Option A
B
Matrices S and T are inverses of each other because ST = TS = I.
C
Matrices S and T are inverses of each other because the determinant of S is 1.
D
Matrices S and T are not inverses of each other because the determinant of S equals the determinant of T.
6

Which expression represents the inverse of the matrix below?

Question illustration
A
mc003-2.jpg
Option A
B
mc003-3.jpg
Option B
C
mc003-4.jpg
Option C
D
mc003-5.jpg
Option D
7

Which statement is true about the determinant of a matrix?

A
The determinant of a singular matrix is equal to zero.
B
The determinant of an inverse matrix is equal to zero.
C
The determinant of an identity matrix is equal to zero.
D
The determinant of a zero matrix is equal to one.
10

A square matrix that does not have an inverse is most specifically called a(n)

A
inverse matrix
B
identity matrix
C
singular matrix
D
non-singular matrix

Did you find these answers helpful?