Q22: If Rank of a matrix is equal to No. of variable then it have

A. Non-Trivial solution, x = y = z? 0

B. Trivial Solution, x = y = z = 0

C. x = y = 0, z = 0

D. None

how?

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- Feb 10th 2011, 11:49 PMbahadaraliRank of matrix and solutions.
Q22: If Rank of a matrix is equal to No. of variable then it have

A. Non-Trivial solution, x = y = z? 0

B. Trivial Solution, x = y = z = 0

C. x = y = 0, z = 0

D. None

how? - Feb 11th 2011, 02:56 AMFernandoRevilla
It is an inmediate consequence of Rouche-Fröbenius's theorem. Have you studied it?.

Fernando Revilla - Feb 11th 2011, 05:07 AMHallsofIvy
What do you

**mean**by "the solution to a matrix"?

Are you talking about the equation Ax= 0? - Feb 11th 2011, 05:42 AMFernandoRevilla

I interpreted it in that way (the stamentet is not clear) .

Fernando Revilla