-2 12 -1 5 ) 1. Consider the matrix A = Find (a) the characteristic equation of the matrix A (b) the eigen values of the matrix A (c) the eigen vecotors of the matrix A

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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-2 12
-1 5 )
1. Consider the matrix A =
Find (a) the characteristic equation of the matrix A
(b) the eigen values of the matrix A
(c) the eigen vecotors of the matrix A
2. Show that is an abelian (commutative ) group,
where ' * ' is defined as and Z is the set of all
integers.
3. Find for each of the following functions:
1-X
(a) y
1-tanx
3
3x
(b) y = u°+In(2u), where u = e
4. Consider the vectors u,v and w are defined as
u = -i+2j+2k, v = 31+4j – k and w= i+4j+k
(a) Express
u-v+2w
in component form
Find |u -v+2w|
(b)
Calculate u XW
(c)
(d) Find the area of the parallelogram determined
by u and w.
Transcribed Image Text:-2 12 -1 5 ) 1. Consider the matrix A = Find (a) the characteristic equation of the matrix A (b) the eigen values of the matrix A (c) the eigen vecotors of the matrix A 2. Show that is an abelian (commutative ) group, where ' * ' is defined as and Z is the set of all integers. 3. Find for each of the following functions: 1-X (a) y 1-tanx 3 3x (b) y = u°+In(2u), where u = e 4. Consider the vectors u,v and w are defined as u = -i+2j+2k, v = 31+4j – k and w= i+4j+k (a) Express u-v+2w in component form Find |u -v+2w| (b) Calculate u XW (c) (d) Find the area of the parallelogram determined by u and w.
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