- We can have only consistent and infinite solution
- We can have either inconsistent or consistent and infinite solution
- We can have a consistent and unique solution
- We can have every possible solution

Answer: Option 2

Explanation:

In an under-determined system,either - 1) Rank(A) is not equal to Rank(A|B) OR 2) If Rank(A) is equal to Rank(A|B), Rank(A) will always be less than n So, we will ONLY get infinite no. of solutions.

Previous Question : The sum of all the diagonal elements of a matrix A -

Next Question : Let A be a square matrix, then, the solution of characteristic equation |A-kI|=0 is equal to -

Click here for online test on Matrices

Next Question : Let A be a square matrix, then, the solution of characteristic equation |A-kI|=0 is equal to -

Click here for online test on Matrices

- For square matrices A,B,C and D, If AB=AC, then we can write B=C
- Given t(AB) = t(B) * t(A) where t stands for transpose, we can write-
- If the determinant of a matrix A is 1, then it is a-
- A = 0 i i 0 is a-
- A skew-symmetric matrix must-
- If A = 0 0 and B = 0 0 0 0 0 0 0 0 0 0 Then AB -
- Let A = 1 1 3 5 2 6 -2 -1 -3 It is seen that A^3 = 0. So, A is a-
- A = a1 a2 a3 b1 b2 b3 c1 c2 c3 Then, a1*cof(b1) + a2*cof(b2) + a3*cof(b3) =
- Let A,B,C,D,E be n*n matrices, each with non-zero determinant and ABCDE = I, where I = Identity matr...
- If a row or coloumn of a matrix A undergoes transformation given by Ri+kRj or Ci+kCj respectively, t...

I convinced myself that everything was going to be okay. This is what happens when you believe in in hope. Karma comes around and destroy it.

-Katie McGarry
Dare You To