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(Solved): I only need help with the augmented matrix for part C, will rate LetA=[[8,-5,5],[-5,8,5],[3,3,10]] ( ...



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]]


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