Statement 1: The system of equations has unique solution for `lamda= -5`, Reason: The determinant `|(3,-1,4),(1,2,-3),(6,5,lamda)|!=0 for lamda !=-5` (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Consider the system of equations x-2y+3z=-1, -x+y-2z=k, x-3y+4z=1 Assertion: The system of equations has no solution for k!=3 and Reason: The determinant |(1,3,-1),(-1,-2,k),(1,4,1)|!=0, for k!=3 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion : A^-1 exists, Reason: |A|=0 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: Tr(A)=0 Reason: |A|=1 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) both A and R is false.

Assertion: adj(adjA)=(det A)^(n-2)A Reason: |adjA|=|A|^(n-1) (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: r=15 Reason : ^nC_x=^InC_yrarrx+y=n (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: |M|=0 , Reason: Determinant of a skew symmetric matrix is 0. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: |A A^T|=0 , Reason : A is a skew symmetric matrix (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: If |A^2|=25 then A=+- 1/5 , Reason: |AB|=|A||B| (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: f(n) is divisible by 961, Reason : 2^(5n)=(1+31)^n (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assetion: a_1,a_2,a_3,…………. an are not in G.P. Reason: a_(n+1)=a_n (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.