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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Question
Please solve a question quickly
![72ll
6
10 p r:.0
...
Lect04.pdf
L0 d e]
then p(A) = 0
27. Consider the matrix
...
a22
A=
0 0
where a1an
-a + 0. Show that A is invertible and find its inverse.
Answer:
a11
a22
1
...
28. Show that if a square matrix 4 satisfies A? - 34+1=a then A- = 31-A
29. (a) Show that a matrix with a row of zeros cannot have an inverse.
(b) Slow that a matrix with a column of zeros cannot have än inverse,
30. Assuming that all matrices are x / and invertible, solve for D.
ABC"DBA"C AR
31. Assuming that all matrices are x and invertible, solve for D.
Answer:
32. If A is a square matrix and a is a positive integer, is it true that (A")' = (A")? Justify your answer.
33. Simplify:
D-
Answer:
34. Simplify:
AD-
In Exercises 35-37, determine whether A is invertible, and if so, find the inverse. [Hint: Solve AX = / for X.
by equating corresponding entries on the two sides.]
[10 1]
A=110
1
35.
0 1 1
Answer:
PE / YI
[1 1
A=100
011
36.
0 0 1
1 10
-1 11
37.
A
Answer:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc424d6d8-69a4-4930-ad54-e78b6b1d145f%2Fa2e8bbdd-b2da-4fd2-b222-15bbe0628438%2Fuejx42e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:72ll
6
10 p r:.0
...
Lect04.pdf
L0 d e]
then p(A) = 0
27. Consider the matrix
...
a22
A=
0 0
where a1an
-a + 0. Show that A is invertible and find its inverse.
Answer:
a11
a22
1
...
28. Show that if a square matrix 4 satisfies A? - 34+1=a then A- = 31-A
29. (a) Show that a matrix with a row of zeros cannot have an inverse.
(b) Slow that a matrix with a column of zeros cannot have än inverse,
30. Assuming that all matrices are x / and invertible, solve for D.
ABC"DBA"C AR
31. Assuming that all matrices are x and invertible, solve for D.
Answer:
32. If A is a square matrix and a is a positive integer, is it true that (A")' = (A")? Justify your answer.
33. Simplify:
D-
Answer:
34. Simplify:
AD-
In Exercises 35-37, determine whether A is invertible, and if so, find the inverse. [Hint: Solve AX = / for X.
by equating corresponding entries on the two sides.]
[10 1]
A=110
1
35.
0 1 1
Answer:
PE / YI
[1 1
A=100
011
36.
0 0 1
1 10
-1 11
37.
A
Answer:
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