1. Find an upper triangular matrix that satisfies A³ = l6 = 6 )

Algebra and Trigonometry (6th Edition)
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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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13:25 O E a
ll ? 43
classroom.google.com/i
3
LA-BIKAT
SPRING-2021
BARANI INSTITUTE OF KNOWLEDGE ADMINISTRATION &
TECHNOLOGY
LINEAR ALGEBRA
Assignment no. 1
1. Find an upper triangular matrix that satisfies
A = 6
301
2. Find the matrix 'X' if
-1
-3
3. Let A =
-2
*- then prove that AAt and A A are symmetric.
4. Verify that (AB)' = B'A¢ if
-1
A= lo
and B= 3
-1
5. Consider the matrices
A =
B =
Then, prove that (AB) = B²A²
6. Use the given information to find 'A'.
(I + 2A)-1 =
7. A man has 14 coins in his pocket, all of which are dimes & quarters. If
the total value of his change is $2.75, how many dimes and how many
quarters does he have?
+
Σ
Transcribed Image Text:13:25 O E a ll ? 43 classroom.google.com/i 3 LA-BIKAT SPRING-2021 BARANI INSTITUTE OF KNOWLEDGE ADMINISTRATION & TECHNOLOGY LINEAR ALGEBRA Assignment no. 1 1. Find an upper triangular matrix that satisfies A = 6 301 2. Find the matrix 'X' if -1 -3 3. Let A = -2 *- then prove that AAt and A A are symmetric. 4. Verify that (AB)' = B'A¢ if -1 A= lo and B= 3 -1 5. Consider the matrices A = B = Then, prove that (AB) = B²A² 6. Use the given information to find 'A'. (I + 2A)-1 = 7. A man has 14 coins in his pocket, all of which are dimes & quarters. If the total value of his change is $2.75, how many dimes and how many quarters does he have? + Σ
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