Linear Algebra

1:

A set of linear equations is represented by the matrix equation Ax = b. The necessary condition for the existence of a solution for this system is

A.

A must be invertible

B.

b must be linearly depended on the columns of A

C.

b must be linearly independent of the columns of A

D.

None of these

 

Answer : A

Explanation :

x=A-1b

himanshu said: (5:16am on Tuesday 20th February 2018)
If number of equation is strictly greater than number of variable,than the matrix A will not be a square matrix.Than A inverse has no meaning.So i think option B will always correct whatever the system(if it has a solution).

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Option: A

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