1. 2. 3. Which of the following matrix are singular? [31 a) 12] 26 8 b) b) ( [1 11' 2 8 [13 12 3 12 d) 22 8 2 8 Let A be an n x n matrix, and A is invertible. Then which of the following statement is equivalent: a. Ax = 0 has only the trivial solution b. A cannot be expressed as a product of elementary c. Ax = b is inconsistent d. Ax = b has more for every n x 1 matrix b matrices than one solution for every For which of the following values of X and μ the system of equation x+y+z = 6 x + 2y + 3z=10 x + 2y + z = μ has no solution λ = 3 and μ 10 λ = 3 a. b. C. λ 3 and μ = 10 d. λ = 3 and μ = 10 4. 8 If A is 間 a. 0 then the value of |A121 - A120| b. 1 nx1 matrix b C. 120 d. 120

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
icon
Related questions
Question

Please provide a solution with an explanation.

1.
2.
3.
Which of the following matrix are singular?
[31
a)
12]
26 8
b)
b) (
[1 11'
2 8
[13 12
3 12
d)
22 8
2
8
Let A be an n x n matrix, and A is invertible. Then which of the following statement is
equivalent:
a. Ax = 0 has only the
trivial solution
b. A cannot be
expressed as
a product of
elementary
c. Ax = b is
inconsistent
d. Ax = b
has more
for every n x
1 matrix b
matrices
than one
solution
for every
For which of the following values of X and μ the system of equation
x+y+z = 6
x + 2y + 3z=10
x + 2y + z = μ
has no solution
λ = 3 and μ 10
λ = 3
a.
b.
C.
λ
3 and μ = 10
d.
λ = 3 and μ
= 10
4.
8
If A is
間
a. 0
then the value of |A121 - A120|
b. 1
nx1
matrix b
C. 120
d. 120
Transcribed Image Text:1. 2. 3. Which of the following matrix are singular? [31 a) 12] 26 8 b) b) ( [1 11' 2 8 [13 12 3 12 d) 22 8 2 8 Let A be an n x n matrix, and A is invertible. Then which of the following statement is equivalent: a. Ax = 0 has only the trivial solution b. A cannot be expressed as a product of elementary c. Ax = b is inconsistent d. Ax = b has more for every n x 1 matrix b matrices than one solution for every For which of the following values of X and μ the system of equation x+y+z = 6 x + 2y + 3z=10 x + 2y + z = μ has no solution λ = 3 and μ 10 λ = 3 a. b. C. λ 3 and μ = 10 d. λ = 3 and μ = 10 4. 8 If A is 間 a. 0 then the value of |A121 - A120| b. 1 nx1 matrix b C. 120 d. 120
Expert Solution
steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning