QUESTION 13 For which values oft is the following matrix not invertible? t 2 0 e t-2 3 e 1 t o t-0, 1, -3 t* 0,–1,3 t- 0,1, -3 The matrix is not invertible for any values oft. t- 0,-1, 3

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let V be the vector space Mn.n under the standard operations. Which of the following subsets is a subspace of V?
o the set of all symmetric n Xn matrices
Select a matrix A: the set of all matrices of the form CA, where C is a fixed constant
Fix a matrix B: the set of all matrices A such that AB + 0p0
Each of the other answer choices is a subspace of V.
O the set of all invertible n xn matrices
QUESTION 13
For which values of
is the following matrix not i
vertil
2
O t-2 3
e 1 t
t=0, 1, -3
t+ 0,-1,3
t= 0,1, -3
The matrix is not invertible for any values of t.
t = 0,-1, 3
Transcribed Image Text:Let V be the vector space Mn.n under the standard operations. Which of the following subsets is a subspace of V? o the set of all symmetric n Xn matrices Select a matrix A: the set of all matrices of the form CA, where C is a fixed constant Fix a matrix B: the set of all matrices A such that AB + 0p0 Each of the other answer choices is a subspace of V. O the set of all invertible n xn matrices QUESTION 13 For which values of is the following matrix not i vertil 2 O t-2 3 e 1 t t=0, 1, -3 t+ 0,-1,3 t= 0,1, -3 The matrix is not invertible for any values of t. t = 0,-1, 3
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