a) Find all values of a, b, c and d for which the matrix a – 4b + c] а — 3b + с A = -2 5 -3 а-3b +2с d is skew symmetric. x - z = -2a 2х — у + 2z 3 0 . (Зх + 4у — 19z %3D —а b) Consider the linear system: | For which values of a does the linear system have i. a unique solution; ii. infinitely many solutions; iii. no solution.
a) Find all values of a, b, c and d for which the matrix a – 4b + c] а — 3b + с A = -2 5 -3 а-3b +2с d is skew symmetric. x - z = -2a 2х — у + 2z 3 0 . (Зх + 4у — 19z %3D —а b) Consider the linear system: | For which values of a does the linear system have i. a unique solution; ii. infinitely many solutions; iii. no solution.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.2: Guassian Eliminationa And Guass-jordan Elimination
Problem 54E
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![a) Find all values of a, b, c and d for which the matrix
а — 4b + с]
а — 3b + с
A
-2
5
-3 а-3b + 2с
d
is skew symmetric.
x - z = -2a
2х — у + 2z — 0 .
(3х + 4у — 19z
%3D
b) Consider the linear system: -
-a
For which values of a does the linear system have
i. a unique solution;
ii. infinitely many solutions;
iii. no solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49bbe1d6-6ad0-4c5a-a902-19c9cefc9526%2F39a36b33-b752-445d-bcfa-a1c593433468%2F3kxix7l_processed.png&w=3840&q=75)
Transcribed Image Text:a) Find all values of a, b, c and d for which the matrix
а — 4b + с]
а — 3b + с
A
-2
5
-3 а-3b + 2с
d
is skew symmetric.
x - z = -2a
2х — у + 2z — 0 .
(3х + 4у — 19z
%3D
b) Consider the linear system: -
-a
For which values of a does the linear system have
i. a unique solution;
ii. infinitely many solutions;
iii. no solution.
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