Identify the correct statement :

Question

Identify the correct statement : (A) If system of n simultaneous linear equations has a unique solution, then coefficient matrix is singular (B) If system of n simultaneous linear equations has a unique solution, then coefficient matrix is non singular (C) If A -1 exists, (adjA )-1 may or may not exist (D) F(x)=[ cos x - sin x 0 sin x cos x 0 0 0 0], then F(x) ⋅ F(y)=F(x-y)

Tardigrade Admin · Accepted Answer

Correct answer is (b) If system of n simultaneous linear equations has a unique solution, then coefficient matrix is non singular

Q. Identify the correct statement :

If system of $n$ simultaneous linear equations has a unique solution, then coefficient matrix is singular

If system of $n$ simultaneous linear equations has a unique solution, then coefficient matrix is non singular

If $A^{- 1}$ exists, (adjA $)^{- 1}$ may or may not exist

$F (x) = ⎣ ⎡ cos x sin x 0 - sin x cos x 0 000 ⎦ ⎤$ , then $F (x) \cdot F (y) = F (x - y)$

Correct answer is (b) If system of $n$ simultaneous linear equations has a unique solution, then coefficient matrix is non singular

Q. Identify the correct statement :

If system of n simultaneous linear equations has a unique solution, then coefficient matrix is singular

If system of n simultaneous linear equations has a unique solution, then coefficient matrix is non singular

If A−1 exists, (adjA )−1 may or may not exist