I only need help with the augmented matrix for part C, will rate
LetA=[[8,-5,5],[-5,8,5],[3,3,10]]
(a) Show that
A
is singular. (b) Show that
Ax=col(5,B,5)
has no solutions (c) Shaw that
Ax=
col
(5,0,5)
has infinitely many solutions A. A is songular because its determinant is , which is not equal to
U
. (Type an integer or a simplified fraction.) B. A is singular because its determinant is 0 . C. A is singular because its dederminant is , which is not equal to 1. (Type an integer de a simplified fraction.) D. A is singular because its determinant is 1. (b) Show that
Ax=[[5],[B],[5]]
has no solutions. Let
b=[[5],[8],[5]]
. How can this be done? VA. Row-reduce the augmented matrix [A | b]. B. Row-reduce the augmented matrix
A|x
C. Row-reduce the augmented matrix
A|I
. Completely row-reduce the augmented matrix.
[[1,0,(5)/(3),0],[0,1,(5)/(3),0],[0,0,0,1]]
(Type integers or simplified fractions.) Let
x=[[x_(1)],[x_(2)],[x_(3)]]
. Why does the equation
Ax=b
have no salutions? The third row of the augmented mastrix translates to the equation
0x_(1)+0x_(2)+0x_(3)=1
, which has no solutions. (Type integers or simplified fractions.) (c) Show that
Ax=[[5],[0],[5]]
has infinitely many solutions. Let
c=[[5],[0],[5]]
. Haw can this be done? A. Row-reduce the augmented matrix
A|c
. B. Row-reduce the augrnented matrix
A|I
. C. Row-reduce the augmented matrix
A|x
. Completely row-reduce the augmented matrix.
[[1,0,(5)/(3),],[,,,],[0,1,(5)/(3),],[0,0,0,0]]