1)If the matrix of coefficents of a homogenous system of n linear equations in n

Question

1)If the matrix of coefficents of a homogenous system of n linear equations in n unknowns is singular, then the trivial solution is the only solutions of the system

a)always true

b)sometimes true

c)never true

d)none of above

2.if a system of n linear equations in n unkowns is inconsitent, then the reduced row echelon form of the matrix coefficent is not In(small n)

a)always true

b)sometime true

c)neve true

d)none of above  

3. if the matrix of coefficents of a system of n linear eqs in n unkowns does not have inverse then sytem has no solutions

a)

b)

c)

d)

4. if a system of n linear eqs in n unkowns is inconsitent, then 0 is an eigen value of the matrix of coefficent

a)

b)

c)

d)

Explanation / Answer

1) Sometimes true

2) always true

3) sometimes true 4) always true

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